Finding the Third Proportional to 661.50 and 926.25

Step by Step Solution

1. Step 1: Write the proportion equation
   661.50 : 926.25 = 926.25 : x
2. Step 2: Convert to fraction form
   661.50/926.25 = 926.25/x
3. Step 3: Cross multiply
   661.50x = 926.25 × 926.25
4. Step 4: Simplify right side
   661.50x = 857,939.06
5. Step 5: Solve for x
   x = 857,939.06/661.50
6. Step 6: Final answer
   x = 1,296.96