Finding the Third Proportional to 8,032.50 and 12,691.69

Step by Step Solution

1. Step 1: Write the proportion equation
   8,032.50 : 12,691.69 = 12,691.69 : x
2. Step 2: Convert to fraction form
   8,032.50/12,691.69 = 12,691.69/x
3. Step 3: Cross multiply
   8,032.50x = 12,691.69 × 12,691.69
4. Step 4: Simplify right side
   8,032.50x = 161,078,931.60
5. Step 5: Solve for x
   x = 161,078,931.60/8,032.50
6. Step 6: Final answer
   x = 20,053.40