Finding the Third Proportional to 9,642 and 22,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,642 : 22,402.50 = 22,402.50 : x
2. Step 2: Convert to fraction form
   9,642/22,402.50 = 22,402.50/x
3. Step 3: Cross multiply
   9,642x = 22,402.50 × 22,402.50
4. Step 4: Simplify right side
   9,642x = 501,872,006.25
5. Step 5: Solve for x
   x = 501,872,006.25/9,642
6. Step 6: Final answer
   x = 52,050.61