Finding the Third Proportional to 35,832.38 and 76,686.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,832.38 : 76,686.75 = 76,686.75 : x
2. Step 2: Convert to fraction form
   35,832.38/76,686.75 = 76,686.75/x
3. Step 3: Cross multiply
   35,832.38x = 76,686.75 × 76,686.75
4. Step 4: Simplify right side
   35,832.38x = 5,880,857,625.56
5. Step 5: Solve for x
   x = 5,880,857,625.56/35,832.38
6. Step 6: Final answer
   x = 164,121.35