Finding the Third Proportional to 8,032.50 and 10,829.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,032.50 : 10,829.25 = 10,829.25 : x
2. Step 2: Convert to fraction form
   8,032.50/10,829.25 = 10,829.25/x
3. Step 3: Cross multiply
   8,032.50x = 10,829.25 × 10,829.25
4. Step 4: Simplify right side
   8,032.50x = 117,272,655.56
5. Step 5: Solve for x
   x = 117,272,655.56/8,032.50
6. Step 6: Final answer
   x = 14,599.77