Finding the Third Proportional to 34,374 and 75,012

Step by Step Solution

1. Step 1: Write the proportion equation
   34,374 : 75,012 = 75,012 : x
2. Step 2: Convert to fraction form
   34,374/75,012 = 75,012/x
3. Step 3: Cross multiply
   34,374x = 75,012 × 75,012
4. Step 4: Simplify right side
   34,374x = 5,626,800,144
5. Step 5: Solve for x
   x = 5,626,800,144/34,374
6. Step 6: Final answer
   x = 163,693.49