Finding the Third Proportional to 734.25 and 1,061.25

Step by Step Solution

1. Step 1: Write the proportion equation
   734.25 : 1,061.25 = 1,061.25 : x
2. Step 2: Convert to fraction form
   734.25/1,061.25 = 1,061.25/x
3. Step 3: Cross multiply
   734.25x = 1,061.25 × 1,061.25
4. Step 4: Simplify right side
   734.25x = 1,126,251.56
5. Step 5: Solve for x
   x = 1,126,251.56/734.25
6. Step 6: Final answer
   x = 1,533.88