Finding the Third Proportional to 1,156 and 2,140

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156 : 2,140 = 2,140 : x
2. Step 2: Convert to fraction form
   1,156/2,140 = 2,140/x
3. Step 3: Cross multiply
   1,156x = 2,140 × 2,140
4. Step 4: Simplify right side
   1,156x = 4,579,600
5. Step 5: Solve for x
   x = 4,579,600/1,156
6. Step 6: Final answer
   x = 3,961.59