Finding the Third Proportional to 35,113.50 and 75,147.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,113.50 : 75,147.75 = 75,147.75 : x
2. Step 2: Convert to fraction form
   35,113.50/75,147.75 = 75,147.75/x
3. Step 3: Cross multiply
   35,113.50x = 75,147.75 × 75,147.75
4. Step 4: Simplify right side
   35,113.50x = 5,647,184,330.06
5. Step 5: Solve for x
   x = 5,647,184,330.06/35,113.50
6. Step 6: Final answer
   x = 160,826.59