Finding the Third Proportional to 1,128 and 1,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,128 : 1,432.50 = 1,432.50 : x
2. Step 2: Convert to fraction form
   1,128/1,432.50 = 1,432.50/x
3. Step 3: Cross multiply
   1,128x = 1,432.50 × 1,432.50
4. Step 4: Simplify right side
   1,128x = 2,052,056.25
5. Step 5: Solve for x
   x = 2,052,056.25/1,128
6. Step 6: Final answer
   x = 1,819.20