Finding the Third Proportional to 35,128 and 75,174.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,128 : 75,174.50 = 75,174.50 : x
2. Step 2: Convert to fraction form
   35,128/75,174.50 = 75,174.50/x
3. Step 3: Cross multiply
   35,128x = 75,174.50 × 75,174.50
4. Step 4: Simplify right side
   35,128x = 5,651,205,450.25
5. Step 5: Solve for x
   x = 5,651,205,450.25/35,128
6. Step 6: Final answer
   x = 160,874.67