Finding the Third Proportional to 15,434 and 32,078

Step by Step Solution

1. Step 1: Write the proportion equation
   15,434 : 32,078 = 32,078 : x
2. Step 2: Convert to fraction form
   15,434/32,078 = 32,078/x
3. Step 3: Cross multiply
   15,434x = 32,078 × 32,078
4. Step 4: Simplify right side
   15,434x = 1,028,998,084
5. Step 5: Solve for x
   x = 1,028,998,084/15,434
6. Step 6: Final answer
   x = 66,670.86