Finding the Third Proportional to 35,563.50 and 76,731.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,563.50 : 76,731.75 = 76,731.75 : x
2. Step 2: Convert to fraction form
   35,563.50/76,731.75 = 76,731.75/x
3. Step 3: Cross multiply
   35,563.50x = 76,731.75 × 76,731.75
4. Step 4: Simplify right side
   35,563.50x = 5,887,761,458.06
5. Step 5: Solve for x
   x = 5,887,761,458.06/35,563.50
6. Step 6: Final answer
   x = 165,556.30