Finding the Third Proportional to 38,524 and 59,132

Step by Step Solution

1. Step 1: Write the proportion equation
   38,524 : 59,132 = 59,132 : x
2. Step 2: Convert to fraction form
   38,524/59,132 = 59,132/x
3. Step 3: Cross multiply
   38,524x = 59,132 × 59,132
4. Step 4: Simplify right side
   38,524x = 3,496,593,424
5. Step 5: Solve for x
   x = 3,496,593,424/38,524
6. Step 6: Final answer
   x = 90,764.03