Finding the Third Proportional to 9,857.25 and 21,332.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,857.25 : 21,332.25 = 21,332.25 : x
2. Step 2: Convert to fraction form
   9,857.25/21,332.25 = 21,332.25/x
3. Step 3: Cross multiply
   9,857.25x = 21,332.25 × 21,332.25
4. Step 4: Simplify right side
   9,857.25x = 455,064,890.06
5. Step 5: Solve for x
   x = 455,064,890.06/9,857.25
6. Step 6: Final answer
   x = 46,165.50