Finding the Third Proportional to 737 and 1,073.50

Step by Step Solution

1. Step 1: Write the proportion equation
   737 : 1,073.50 = 1,073.50 : x
2. Step 2: Convert to fraction form
   737/1,073.50 = 1,073.50/x
3. Step 3: Cross multiply
   737x = 1,073.50 × 1,073.50
4. Step 4: Simplify right side
   737x = 1,152,402.25
5. Step 5: Solve for x
   x = 1,152,402.25/737
6. Step 6: Final answer
   x = 1,563.64