Finding the Third Proportional to 4,102.50 and 9,002.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,102.50 : 9,002.25 = 9,002.25 : x
2. Step 2: Convert to fraction form
   4,102.50/9,002.25 = 9,002.25/x
3. Step 3: Cross multiply
   4,102.50x = 9,002.25 × 9,002.25
4. Step 4: Simplify right side
   4,102.50x = 81,040,505.06
5. Step 5: Solve for x
   x = 81,040,505.06/4,102.50
6. Step 6: Final answer
   x = 19,753.93