Finding the Third Proportional to 2,461.50 and 3,402

Step by Step Solution

1. Step 1: Write the proportion equation
   2,461.50 : 3,402 = 3,402 : x
2. Step 2: Convert to fraction form
   2,461.50/3,402 = 3,402/x
3. Step 3: Cross multiply
   2,461.50x = 3,402 × 3,402
4. Step 4: Simplify right side
   2,461.50x = 11,573,604
5. Step 5: Solve for x
   x = 11,573,604/2,461.50
6. Step 6: Final answer
   x = 4,701.85