Finding the Third Proportional to 34,434 and 75,078

Step by Step Solution

1. Step 1: Write the proportion equation
   34,434 : 75,078 = 75,078 : x
2. Step 2: Convert to fraction form
   34,434/75,078 = 75,078/x
3. Step 3: Cross multiply
   34,434x = 75,078 × 75,078
4. Step 4: Simplify right side
   34,434x = 5,636,706,084
5. Step 5: Solve for x
   x = 5,636,706,084/34,434
6. Step 6: Final answer
   x = 163,695.94