Finding the Third Proportional to 1,047.94 and 1,588.36

Step by Step Solution

1. Step 1: Write the proportion equation
   1,047.94 : 1,588.36 = 1,588.36 : x
2. Step 2: Convert to fraction form
   1,047.94/1,588.36 = 1,588.36/x
3. Step 3: Cross multiply
   1,047.94x = 1,588.36 × 1,588.36
4. Step 4: Simplify right side
   1,047.94x = 2,522,885.50
5. Step 5: Solve for x
   x = 2,522,885.50/1,047.94
6. Step 6: Final answer
   x = 2,407.48