Finding the Third Proportional to 607.50 and 946.69

Step by Step Solution

1. Step 1: Write the proportion equation
   607.50 : 946.69 = 946.69 : x
2. Step 2: Convert to fraction form
   607.50/946.69 = 946.69/x
3. Step 3: Cross multiply
   607.50x = 946.69 × 946.69
4. Step 4: Simplify right side
   607.50x = 896,217.22
5. Step 5: Solve for x
   x = 896,217.22/607.50
6. Step 6: Final answer
   x = 1,475.25