Finding the Third Proportional to 36,049.50 and 77,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,049.50 : 77,080.50 = 77,080.50 : x
2. Step 2: Convert to fraction form
   36,049.50/77,080.50 = 77,080.50/x
3. Step 3: Cross multiply
   36,049.50x = 77,080.50 × 77,080.50
4. Step 4: Simplify right side
   36,049.50x = 5,941,403,480.25
5. Step 5: Solve for x
   x = 5,941,403,480.25/36,049.50
6. Step 6: Final answer
   x = 164,812.37