Finding the Third Proportional to 31,835,654 and 68,213,788

Step by Step Solution

1. Step 1: Write the proportion equation
   31,835,654 : 68,213,788 = 68,213,788 : x
2. Step 2: Convert to fraction form
   31,835,654/68,213,788 = 68,213,788/x
3. Step 3: Cross multiply
   31,835,654x = 68,213,788 × 68,213,788
4. Step 4: Simplify right side
   31,835,654x = 4,653,120,873,308,944
5. Step 5: Solve for x
   x = 4,653,120,873,308,944/31,835,654
6. Step 6: Final answer
   x = 146,160,681.14