Finding the Third Proportional to 35,506.88 and 77,049.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,506.88 : 77,049.38 = 77,049.38 : x
2. Step 2: Convert to fraction form
   35,506.88/77,049.38 = 77,049.38/x
3. Step 3: Cross multiply
   35,506.88x = 77,049.38 × 77,049.38
4. Step 4: Simplify right side
   35,506.88x = 5,936,606,187.89
5. Step 5: Solve for x
   x = 5,936,606,187.89/35,506.88
6. Step 6: Final answer
   x = 167,195.96