Finding the Third Proportional to 10,265.25 and 22,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.25 : 22,171.50 = 22,171.50 : x
2. Step 2: Convert to fraction form
   10,265.25/22,171.50 = 22,171.50/x
3. Step 3: Cross multiply
   10,265.25x = 22,171.50 × 22,171.50
4. Step 4: Simplify right side
   10,265.25x = 491,575,412.25
5. Step 5: Solve for x
   x = 491,575,412.25/10,265.25
6. Step 6: Final answer
   x = 47,887.33