Finding the Third Proportional to 22,272 and 47,892

Step by Step Solution

1. Step 1: Write the proportion equation
   22,272 : 47,892 = 47,892 : x
2. Step 2: Convert to fraction form
   22,272/47,892 = 47,892/x
3. Step 3: Cross multiply
   22,272x = 47,892 × 47,892
4. Step 4: Simplify right side
   22,272x = 2,293,643,664
5. Step 5: Solve for x
   x = 2,293,643,664/22,272
6. Step 6: Final answer
   x = 102,983.28