Finding the Third Proportional to 35,471.25 and 75,269.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,471.25 : 75,269.25 = 75,269.25 : x
2. Step 2: Convert to fraction form
   35,471.25/75,269.25 = 75,269.25/x
3. Step 3: Cross multiply
   35,471.25x = 75,269.25 × 75,269.25
4. Step 4: Simplify right side
   35,471.25x = 5,665,459,995.56
5. Step 5: Solve for x
   x = 5,665,459,995.56/35,471.25
6. Step 6: Final answer
   x = 159,719.77