Finding the Third Proportional to 12,534 and 29,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,534 : 29,689.50 = 29,689.50 : x
2. Step 2: Convert to fraction form
   12,534/29,689.50 = 29,689.50/x
3. Step 3: Cross multiply
   12,534x = 29,689.50 × 29,689.50
4. Step 4: Simplify right side
   12,534x = 881,466,410.25
5. Step 5: Solve for x
   x = 881,466,410.25/12,534
6. Step 6: Final answer
   x = 70,326.03