Finding the Third Proportional to 34,376 and 75,016

Step by Step Solution

1. Step 1: Write the proportion equation
   34,376 : 75,016 = 75,016 : x
2. Step 2: Convert to fraction form
   34,376/75,016 = 75,016/x
3. Step 3: Cross multiply
   34,376x = 75,016 × 75,016
4. Step 4: Simplify right side
   34,376x = 5,627,400,256
5. Step 5: Solve for x
   x = 5,627,400,256/34,376
6. Step 6: Final answer
   x = 163,701.43