Finding the Third Proportional to 12,537 and 29,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,537 : 29,152.50 = 29,152.50 : x
2. Step 2: Convert to fraction form
   12,537/29,152.50 = 29,152.50/x
3. Step 3: Cross multiply
   12,537x = 29,152.50 × 29,152.50
4. Step 4: Simplify right side
   12,537x = 849,868,256.25
5. Step 5: Solve for x
   x = 849,868,256.25/12,537
6. Step 6: Final answer
   x = 67,788.81