Finding the Third Proportional to 42,914.75 and 65,648.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,914.75 : 65,648.75 = 65,648.75 : x
2. Step 2: Convert to fraction form
   42,914.75/65,648.75 = 65,648.75/x
3. Step 3: Cross multiply
   42,914.75x = 65,648.75 × 65,648.75
4. Step 4: Simplify right side
   42,914.75x = 4,309,758,376.56
5. Step 5: Solve for x
   x = 4,309,758,376.56/42,914.75
6. Step 6: Final answer
   x = 100,426.04