Finding the Third Proportional to 22,592 and 52,072

Step by Step Solution

1. Step 1: Write the proportion equation
   22,592 : 52,072 = 52,072 : x
2. Step 2: Convert to fraction form
   22,592/52,072 = 52,072/x
3. Step 3: Cross multiply
   22,592x = 52,072 × 52,072
4. Step 4: Simplify right side
   22,592x = 2,711,493,184
5. Step 5: Solve for x
   x = 2,711,493,184/22,592
6. Step 6: Final answer
   x = 120,020.06