Finding the Third Proportional to 1,051.31 and 1,588.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,051.31 : 1,588.78 = 1,588.78 : x
2. Step 2: Convert to fraction form
   1,051.31/1,588.78 = 1,588.78/x
3. Step 3: Cross multiply
   1,051.31x = 1,588.78 × 1,588.78
4. Step 4: Simplify right side
   1,051.31x = 2,524,225.86
5. Step 5: Solve for x
   x = 2,524,225.86/1,051.31
6. Step 6: Final answer
   x = 2,401.02