Finding the Third Proportional to 36,034.50 and 77,398.88

Step by Step Solution

1. Step 1: Write the proportion equation
   36,034.50 : 77,398.88 = 77,398.88 : x
2. Step 2: Convert to fraction form
   36,034.50/77,398.88 = 77,398.88/x
3. Step 3: Cross multiply
   36,034.50x = 77,398.88 × 77,398.88
4. Step 4: Simplify right side
   36,034.50x = 5,990,585,851.27
5. Step 5: Solve for x
   x = 5,990,585,851.27/36,034.50
6. Step 6: Final answer
   x = 166,245.84