Finding the Third Proportional to 35,101.50 and 75,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,101.50 : 75,738.50 = 75,738.50 : x
2. Step 2: Convert to fraction form
   35,101.50/75,738.50 = 75,738.50/x
3. Step 3: Cross multiply
   35,101.50x = 75,738.50 × 75,738.50
4. Step 4: Simplify right side
   35,101.50x = 5,736,320,382.25
5. Step 5: Solve for x
   x = 5,736,320,382.25/35,101.50
6. Step 6: Final answer
   x = 163,420.95