Finding the Third Proportional to 36,598.50 and 86,649.75

Step by Step Solution

1. Step 1: Write the proportion equation
   36,598.50 : 86,649.75 = 86,649.75 : x
2. Step 2: Convert to fraction form
   36,598.50/86,649.75 = 86,649.75/x
3. Step 3: Cross multiply
   36,598.50x = 86,649.75 × 86,649.75
4. Step 4: Simplify right side
   36,598.50x = 7,508,179,175.06
5. Step 5: Solve for x
   x = 7,508,179,175.06/36,598.50
6. Step 6: Final answer
   x = 205,149.92