Finding the Third Proportional to 22,025 and 53,271

Step by Step Solution

1. Step 1: Write the proportion equation
   22,025 : 53,271 = 53,271 : x
2. Step 2: Convert to fraction form
   22,025/53,271 = 53,271/x
3. Step 3: Cross multiply
   22,025x = 53,271 × 53,271
4. Step 4: Simplify right side
   22,025x = 2,837,799,441
5. Step 5: Solve for x
   x = 2,837,799,441/22,025
6. Step 6: Final answer
   x = 128,844.47