Finding the Third Proportional to 40,535.50 and 83,076

Step by Step Solution

1. Step 1: Write the proportion equation
   40,535.50 : 83,076 = 83,076 : x
2. Step 2: Convert to fraction form
   40,535.50/83,076 = 83,076/x
3. Step 3: Cross multiply
   40,535.50x = 83,076 × 83,076
4. Step 4: Simplify right side
   40,535.50x = 6,901,621,776
5. Step 5: Solve for x
   x = 6,901,621,776/40,535.50
6. Step 6: Final answer
   x = 170,261.17