Finding the Third Proportional to 607.50 and 974.37

Step by Step Solution

1. Step 1: Write the proportion equation
   607.50 : 974.37 = 974.37 : x
2. Step 2: Convert to fraction form
   607.50/974.37 = 974.37/x
3. Step 3: Cross multiply
   607.50x = 974.37 × 974.37
4. Step 4: Simplify right side
   607.50x = 949,402.83
5. Step 5: Solve for x
   x = 949,402.83/607.50
6. Step 6: Final answer
   x = 1,562.80