Finding the Third Proportional to 9,538 and 22,552

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538 : 22,552 = 22,552 : x
2. Step 2: Convert to fraction form
   9,538/22,552 = 22,552/x
3. Step 3: Cross multiply
   9,538x = 22,552 × 22,552
4. Step 4: Simplify right side
   9,538x = 508,592,704
5. Step 5: Solve for x
   x = 508,592,704/9,538
6. Step 6: Final answer
   x = 53,322.78