Finding the Third Proportional to 901.50 and 1,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   901.50 : 1,024.50 = 1,024.50 : x
2. Step 2: Convert to fraction form
   901.50/1,024.50 = 1,024.50/x
3. Step 3: Cross multiply
   901.50x = 1,024.50 × 1,024.50
4. Step 4: Simplify right side
   901.50x = 1,049,600.25
5. Step 5: Solve for x
   x = 1,049,600.25/901.50
6. Step 6: Final answer
   x = 1,164.28