Finding the Third Proportional to 39,186 and 59,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,186 : 59,695.50 = 59,695.50 : x
2. Step 2: Convert to fraction form
   39,186/59,695.50 = 59,695.50/x
3. Step 3: Cross multiply
   39,186x = 59,695.50 × 59,695.50
4. Step 4: Simplify right side
   39,186x = 3,563,552,720.25
5. Step 5: Solve for x
   x = 3,563,552,720.25/39,186
6. Step 6: Final answer
   x = 90,939.44