Finding the Third Proportional to 38,128 and 58,496

Step by Step Solution

1. Step 1: Write the proportion equation
   38,128 : 58,496 = 58,496 : x
2. Step 2: Convert to fraction form
   38,128/58,496 = 58,496/x
3. Step 3: Cross multiply
   38,128x = 58,496 × 58,496
4. Step 4: Simplify right side
   38,128x = 3,421,782,016
5. Step 5: Solve for x
   x = 3,421,782,016/38,128
6. Step 6: Final answer
   x = 89,744.60