Finding the Third Proportional to 1,113.25 and 1,591

Step by Step Solution

1. Step 1: Write the proportion equation
   1,113.25 : 1,591 = 1,591 : x
2. Step 2: Convert to fraction form
   1,113.25/1,591 = 1,591/x
3. Step 3: Cross multiply
   1,113.25x = 1,591 × 1,591
4. Step 4: Simplify right side
   1,113.25x = 2,531,281
5. Step 5: Solve for x
   x = 2,531,281/1,113.25
6. Step 6: Final answer
   x = 2,273.78