Finding the Third Proportional to 31,614 and 68,154

Step by Step Solution

1. Step 1: Write the proportion equation
   31,614 : 68,154 = 68,154 : x
2. Step 2: Convert to fraction form
   31,614/68,154 = 68,154/x
3. Step 3: Cross multiply
   31,614x = 68,154 × 68,154
4. Step 4: Simplify right side
   31,614x = 4,644,967,716
5. Step 5: Solve for x
   x = 4,644,967,716/31,614
6. Step 6: Final answer
   x = 146,927.55