Finding the Third Proportional to 1,195.31 and 2,588.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,195.31 : 2,588.91 = 2,588.91 : x
2. Step 2: Convert to fraction form
   1,195.31/2,588.91 = 2,588.91/x
3. Step 3: Cross multiply
   1,195.31x = 2,588.91 × 2,588.91
4. Step 4: Simplify right side
   1,195.31x = 6,702,435.57
5. Step 5: Solve for x
   x = 6,702,435.57/1,195.31
6. Step 6: Final answer
   x = 5,607.27