Finding the Third Proportional to 35,943.75 and 76,494.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,943.75 : 76,494.38 = 76,494.38 : x
2. Step 2: Convert to fraction form
   35,943.75/76,494.38 = 76,494.38/x
3. Step 3: Cross multiply
   35,943.75x = 76,494.38 × 76,494.38
4. Step 4: Simplify right side
   35,943.75x = 5,851,389,406.64
5. Step 5: Solve for x
   x = 5,851,389,406.64/35,943.75
6. Step 6: Final answer
   x = 162,792.96