Finding the Third Proportional to 1,532.67 and 2,292.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,532.67 : 2,292.89 = 2,292.89 : x
2. Step 2: Convert to fraction form
   1,532.67/2,292.89 = 2,292.89/x
3. Step 3: Cross multiply
   1,532.67x = 2,292.89 × 2,292.89
4. Step 4: Simplify right side
   1,532.67x = 5,257,347.42
5. Step 5: Solve for x
   x = 5,257,347.42/1,532.67
6. Step 6: Final answer
   x = 3,430.18