Finding the Third Proportional to 35,194.50 and 75,921.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,194.50 : 75,921.75 = 75,921.75 : x
2. Step 2: Convert to fraction form
   35,194.50/75,921.75 = 75,921.75/x
3. Step 3: Cross multiply
   35,194.50x = 75,921.75 × 75,921.75
4. Step 4: Simplify right side
   35,194.50x = 5,764,112,123.06
5. Step 5: Solve for x
   x = 5,764,112,123.06/35,194.50
6. Step 6: Final answer
   x = 163,778.78