Finding the Third Proportional to 35,645.50 and 75,877.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,645.50 : 75,877.75 = 75,877.75 : x
2. Step 2: Convert to fraction form
   35,645.50/75,877.75 = 75,877.75/x
3. Step 3: Cross multiply
   35,645.50x = 75,877.75 × 75,877.75
4. Step 4: Simplify right side
   35,645.50x = 5,757,432,945.06
5. Step 5: Solve for x
   x = 5,757,432,945.06/35,645.50
6. Step 6: Final answer
   x = 161,519.21