Finding the Third Proportional to 16,374 and 34,934

Step by Step Solution

1. Step 1: Write the proportion equation
   16,374 : 34,934 = 34,934 : x
2. Step 2: Convert to fraction form
   16,374/34,934 = 34,934/x
3. Step 3: Cross multiply
   16,374x = 34,934 × 34,934
4. Step 4: Simplify right side
   16,374x = 1,220,384,356
5. Step 5: Solve for x
   x = 1,220,384,356/16,374
6. Step 6: Final answer
   x = 74,531.84