Finding the Third Proportional to 32,892 and 69,222.38

Step by Step Solution

1. Step 1: Write the proportion equation
   32,892 : 69,222.38 = 69,222.38 : x
2. Step 2: Convert to fraction form
   32,892/69,222.38 = 69,222.38/x
3. Step 3: Cross multiply
   32,892x = 69,222.38 × 69,222.38
4. Step 4: Simplify right side
   32,892x = 4,791,737,200.64
5. Step 5: Solve for x
   x = 4,791,737,200.64/32,892
6. Step 6: Final answer
   x = 145,680.93