Finding the Third Proportional to 35,128.50 and 75,175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,128.50 : 75,175.50 = 75,175.50 : x
2. Step 2: Convert to fraction form
   35,128.50/75,175.50 = 75,175.50/x
3. Step 3: Cross multiply
   35,128.50x = 75,175.50 × 75,175.50
4. Step 4: Simplify right side
   35,128.50x = 5,651,355,800.25
5. Step 5: Solve for x
   x = 5,651,355,800.25/35,128.50
6. Step 6: Final answer
   x = 160,876.66