Finding the Third Proportional to 35,142.61 and 75,898.27

Step by Step Solution

1. Step 1: Write the proportion equation
   35,142.61 : 75,898.27 = 75,898.27 : x
2. Step 2: Convert to fraction form
   35,142.61/75,898.27 = 75,898.27/x
3. Step 3: Cross multiply
   35,142.61x = 75,898.27 × 75,898.27
4. Step 4: Simplify right side
   35,142.61x = 5,760,546,724.88
5. Step 5: Solve for x
   x = 5,760,546,724.88/35,142.61
6. Step 6: Final answer
   x = 163,919.15