Finding the Third Proportional to 35,305.50 and 75,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,305.50 : 75,727.50 = 75,727.50 : x
2. Step 2: Convert to fraction form
   35,305.50/75,727.50 = 75,727.50/x
3. Step 3: Cross multiply
   35,305.50x = 75,727.50 × 75,727.50
4. Step 4: Simplify right side
   35,305.50x = 5,734,654,256.25
5. Step 5: Solve for x
   x = 5,734,654,256.25/35,305.50
6. Step 6: Final answer
   x = 162,429.49