Finding the Third Proportional to 14,976 and 35,340

Step by Step Solution

1. Step 1: Write the proportion equation
   14,976 : 35,340 = 35,340 : x
2. Step 2: Convert to fraction form
   14,976/35,340 = 35,340/x
3. Step 3: Cross multiply
   14,976x = 35,340 × 35,340
4. Step 4: Simplify right side
   14,976x = 1,248,915,600
5. Step 5: Solve for x
   x = 1,248,915,600/14,976
6. Step 6: Final answer
   x = 83,394.47