Finding the Third Proportional to 35,947.69 and 75,612.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,947.69 : 75,612.75 = 75,612.75 : x
2. Step 2: Convert to fraction form
   35,947.69/75,612.75 = 75,612.75/x
3. Step 3: Cross multiply
   35,947.69x = 75,612.75 × 75,612.75
4. Step 4: Simplify right side
   35,947.69x = 5,717,287,962.56
5. Step 5: Solve for x
   x = 5,717,287,962.56/35,947.69
6. Step 6: Final answer
   x = 159,044.67