Finding the Third Proportional to 38,442 and 58,765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,442 : 58,765.50 = 58,765.50 : x
2. Step 2: Convert to fraction form
   38,442/58,765.50 = 58,765.50/x
3. Step 3: Cross multiply
   38,442x = 58,765.50 × 58,765.50
4. Step 4: Simplify right side
   38,442x = 3,453,383,990.25
5. Step 5: Solve for x
   x = 3,453,383,990.25/38,442
6. Step 6: Final answer
   x = 89,833.62