Finding the Third Proportional to 1,532.67 and 2,188.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,532.67 : 2,188.27 = 2,188.27 : x
2. Step 2: Convert to fraction form
   1,532.67/2,188.27 = 2,188.27/x
3. Step 3: Cross multiply
   1,532.67x = 2,188.27 × 2,188.27
4. Step 4: Simplify right side
   1,532.67x = 4,788,506.45
5. Step 5: Solve for x
   x = 4,788,506.45/1,532.67
6. Step 6: Final answer
   x = 3,124.29