Finding the Third Proportional to 35,114.63 and 76,182.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,114.63 : 76,182.75 = 76,182.75 : x
2. Step 2: Convert to fraction form
   35,114.63/76,182.75 = 76,182.75/x
3. Step 3: Cross multiply
   35,114.63x = 76,182.75 × 76,182.75
4. Step 4: Simplify right side
   35,114.63x = 5,803,811,397.56
5. Step 5: Solve for x
   x = 5,803,811,397.56/35,114.63
6. Step 6: Final answer
   x = 165,281.88