Finding the Third Proportional to 35,509.32 and 77,053.78

Step by Step Solution

1. Step 1: Write the proportion equation
   35,509.32 : 77,053.78 = 77,053.78 : x
2. Step 2: Convert to fraction form
   35,509.32/77,053.78 = 77,053.78/x
3. Step 3: Cross multiply
   35,509.32x = 77,053.78 × 77,053.78
4. Step 4: Simplify right side
   35,509.32x = 5,937,285,204.92
5. Step 5: Solve for x
   x = 5,937,285,204.92/35,509.32
6. Step 6: Final answer
   x = 167,203.55