Finding the Third Proportional to 647.50 and 749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   647.50 : 749.50 = 749.50 : x
2. Step 2: Convert to fraction form
   647.50/749.50 = 749.50/x
3. Step 3: Cross multiply
   647.50x = 749.50 × 749.50
4. Step 4: Simplify right side
   647.50x = 561,750.25
5. Step 5: Solve for x
   x = 561,750.25/647.50
6. Step 6: Final answer
   x = 867.57