Finding the Third Proportional to 35,760.38 and 78,522.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,760.38 : 78,522.75 = 78,522.75 : x
2. Step 2: Convert to fraction form
   35,760.38/78,522.75 = 78,522.75/x
3. Step 3: Cross multiply
   35,760.38x = 78,522.75 × 78,522.75
4. Step 4: Simplify right side
   35,760.38x = 6,165,822,267.56
5. Step 5: Solve for x
   x = 6,165,822,267.56/35,760.38
6. Step 6: Final answer
   x = 172,420.51