Finding the Third Proportional to 2,113 and 2,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,113 : 2,459.50 = 2,459.50 : x
2. Step 2: Convert to fraction form
   2,113/2,459.50 = 2,459.50/x
3. Step 3: Cross multiply
   2,113x = 2,459.50 × 2,459.50
4. Step 4: Simplify right side
   2,113x = 6,049,140.25
5. Step 5: Solve for x
   x = 6,049,140.25/2,113
6. Step 6: Final answer
   x = 2,862.82