Finding the Third Proportional to 35,739.84 and 76,387.78

Step by Step Solution

1. Step 1: Write the proportion equation
   35,739.84 : 76,387.78 = 76,387.78 : x
2. Step 2: Convert to fraction form
   35,739.84/76,387.78 = 76,387.78/x
3. Step 3: Cross multiply
   35,739.84x = 76,387.78 × 76,387.78
4. Step 4: Simplify right side
   35,739.84x = 5,835,093,124.30
5. Step 5: Solve for x
   x = 5,835,093,124.30/35,739.84
6. Step 6: Final answer
   x = 163,265.77