Finding the Third Proportional to 2,140 and 5,079.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,140 : 5,079.50 = 5,079.50 : x
2. Step 2: Convert to fraction form
   2,140/5,079.50 = 5,079.50/x
3. Step 3: Cross multiply
   2,140x = 5,079.50 × 5,079.50
4. Step 4: Simplify right side
   2,140x = 25,801,320.25
5. Step 5: Solve for x
   x = 25,801,320.25/2,140
6. Step 6: Final answer
   x = 12,056.69