Finding the Third Proportional to 2,127 and 5,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,127 : 5,119.50 = 5,119.50 : x
2. Step 2: Convert to fraction form
   2,127/5,119.50 = 5,119.50/x
3. Step 3: Cross multiply
   2,127x = 5,119.50 × 5,119.50
4. Step 4: Simplify right side
   2,127x = 26,209,280.25
5. Step 5: Solve for x
   x = 26,209,280.25/2,127
6. Step 6: Final answer
   x = 12,322.18