Finding the Third Proportional to 22,522 and 47,960

Step by Step Solution

1. Step 1: Write the proportion equation
   22,522 : 47,960 = 47,960 : x
2. Step 2: Convert to fraction form
   22,522/47,960 = 47,960/x
3. Step 3: Cross multiply
   22,522x = 47,960 × 47,960
4. Step 4: Simplify right side
   22,522x = 2,300,161,600
5. Step 5: Solve for x
   x = 2,300,161,600/22,522
6. Step 6: Final answer
   x = 102,129.54