Finding the Third Proportional to 35,508.52 and 77,698.27

Step by Step Solution

1. Step 1: Write the proportion equation
   35,508.52 : 77,698.27 = 77,698.27 : x
2. Step 2: Convert to fraction form
   35,508.52/77,698.27 = 77,698.27/x
3. Step 3: Cross multiply
   35,508.52x = 77,698.27 × 77,698.27
4. Step 4: Simplify right side
   35,508.52x = 6,037,020,481.13
5. Step 5: Solve for x
   x = 6,037,020,481.13/35,508.52
6. Step 6: Final answer
   x = 170,016.13