Finding the Third Proportional to 35,815.92 and 78,519.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,815.92 : 78,519.38 = 78,519.38 : x
2. Step 2: Convert to fraction form
   35,815.92/78,519.38 = 78,519.38/x
3. Step 3: Cross multiply
   35,815.92x = 78,519.38 × 78,519.38
4. Step 4: Simplify right side
   35,815.92x = 6,165,292,250.39
5. Step 5: Solve for x
   x = 6,165,292,250.39/35,815.92
6. Step 6: Final answer
   x = 172,138.31