Finding the Third Proportional to 22,680 and 52,928

Step by Step Solution

1. Step 1: Write the proportion equation
   22,680 : 52,928 = 52,928 : x
2. Step 2: Convert to fraction form
   22,680/52,928 = 52,928/x
3. Step 3: Cross multiply
   22,680x = 52,928 × 52,928
4. Step 4: Simplify right side
   22,680x = 2,801,373,184
5. Step 5: Solve for x
   x = 2,801,373,184/22,680
6. Step 6: Final answer
   x = 123,517.34