Finding the Third Proportional to 39,196 and 59,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,196 : 59,158.50 = 59,158.50 : x
2. Step 2: Convert to fraction form
   39,196/59,158.50 = 59,158.50/x
3. Step 3: Cross multiply
   39,196x = 59,158.50 × 59,158.50
4. Step 4: Simplify right side
   39,196x = 3,499,728,122.25
5. Step 5: Solve for x
   x = 3,499,728,122.25/39,196
6. Step 6: Final answer
   x = 89,287.89