Finding the Third Proportional to 31,890 and 69,521

Step by Step Solution

1. Step 1: Write the proportion equation
   31,890 : 69,521 = 69,521 : x
2. Step 2: Convert to fraction form
   31,890/69,521 = 69,521/x
3. Step 3: Cross multiply
   31,890x = 69,521 × 69,521
4. Step 4: Simplify right side
   31,890x = 4,833,169,441
5. Step 5: Solve for x
   x = 4,833,169,441/31,890
6. Step 6: Final answer
   x = 151,557.52