Finding the Third Proportional to 32,288 and 69,521

Step by Step Solution

1. Step 1: Write the proportion equation
   32,288 : 69,521 = 69,521 : x
2. Step 2: Convert to fraction form
   32,288/69,521 = 69,521/x
3. Step 3: Cross multiply
   32,288x = 69,521 × 69,521
4. Step 4: Simplify right side
   32,288x = 4,833,169,441
5. Step 5: Solve for x
   x = 4,833,169,441/32,288
6. Step 6: Final answer
   x = 149,689.34