Finding the Third Proportional to 31,534 and 64,706

Step by Step Solution

1. Step 1: Write the proportion equation
   31,534 : 64,706 = 64,706 : x
2. Step 2: Convert to fraction form
   31,534/64,706 = 64,706/x
3. Step 3: Cross multiply
   31,534x = 64,706 × 64,706
4. Step 4: Simplify right side
   31,534x = 4,186,866,436
5. Step 5: Solve for x
   x = 4,186,866,436/31,534
6. Step 6: Final answer
   x = 132,773.08