Finding the Third Proportional to 9,032.25 and 21,758.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,032.25 : 21,758.25 = 21,758.25 : x
2. Step 2: Convert to fraction form
   9,032.25/21,758.25 = 21,758.25/x
3. Step 3: Cross multiply
   9,032.25x = 21,758.25 × 21,758.25
4. Step 4: Simplify right side
   9,032.25x = 473,421,443.06
5. Step 5: Solve for x
   x = 473,421,443.06/9,032.25
6. Step 6: Final answer
   x = 52,414.56