Finding the Third Proportional to 14,650 and 35,410

Step by Step Solution

1. Step 1: Write the proportion equation
   14,650 : 35,410 = 35,410 : x
2. Step 2: Convert to fraction form
   14,650/35,410 = 35,410/x
3. Step 3: Cross multiply
   14,650x = 35,410 × 35,410
4. Step 4: Simplify right side
   14,650x = 1,253,868,100
5. Step 5: Solve for x
   x = 1,253,868,100/14,650
6. Step 6: Final answer
   x = 85,588.27