Finding the Third Proportional to 31,815 and 67,113

Step by Step Solution

1. Step 1: Write the proportion equation
   31,815 : 67,113 = 67,113 : x
2. Step 2: Convert to fraction form
   31,815/67,113 = 67,113/x
3. Step 3: Cross multiply
   31,815x = 67,113 × 67,113
4. Step 4: Simplify right side
   31,815x = 4,504,154,769
5. Step 5: Solve for x
   x = 4,504,154,769/31,815
6. Step 6: Final answer
   x = 141,573.31