Finding the Third Proportional to 40,536.50 and 83,078

Step by Step Solution

1. Step 1: Write the proportion equation
   40,536.50 : 83,078 = 83,078 : x
2. Step 2: Convert to fraction form
   40,536.50/83,078 = 83,078/x
3. Step 3: Cross multiply
   40,536.50x = 83,078 × 83,078
4. Step 4: Simplify right side
   40,536.50x = 6,901,954,084
5. Step 5: Solve for x
   x = 6,901,954,084/40,536.50
6. Step 6: Final answer
   x = 170,265.17