Finding the Third Proportional to 32,431 and 50,078

Step by Step Solution

1. Step 1: Write the proportion equation
   32,431 : 50,078 = 50,078 : x
2. Step 2: Convert to fraction form
   32,431/50,078 = 50,078/x
3. Step 3: Cross multiply
   32,431x = 50,078 × 50,078
4. Step 4: Simplify right side
   32,431x = 2,507,806,084
5. Step 5: Solve for x
   x = 2,507,806,084/32,431
6. Step 6: Final answer
   x = 77,327.44