Finding the Third Proportional to 39,496.50 and 86,646.38

Step by Step Solution

1. Step 1: Write the proportion equation
   39,496.50 : 86,646.38 = 86,646.38 : x
2. Step 2: Convert to fraction form
   39,496.50/86,646.38 = 86,646.38/x
3. Step 3: Cross multiply
   39,496.50x = 86,646.38 × 86,646.38
4. Step 4: Simplify right side
   39,496.50x = 7,507,594,300.64
5. Step 5: Solve for x
   x = 7,507,594,300.64/39,496.50
6. Step 6: Final answer
   x = 190,082.52