Finding the Third Proportional to 2,140 and 5,185

Step by Step Solution

1. Step 1: Write the proportion equation
   2,140 : 5,185 = 5,185 : x
2. Step 2: Convert to fraction form
   2,140/5,185 = 5,185/x
3. Step 3: Cross multiply
   2,140x = 5,185 × 5,185
4. Step 4: Simplify right side
   2,140x = 26,884,225
5. Step 5: Solve for x
   x = 26,884,225/2,140
6. Step 6: Final answer
   x = 12,562.72