Finding the Third Proportional to 617.50 and 976.25

Step by Step Solution

1. Step 1: Write the proportion equation
   617.50 : 976.25 = 976.25 : x
2. Step 2: Convert to fraction form
   617.50/976.25 = 976.25/x
3. Step 3: Cross multiply
   617.50x = 976.25 × 976.25
4. Step 4: Simplify right side
   617.50x = 953,064.06
5. Step 5: Solve for x
   x = 953,064.06/617.50
6. Step 6: Final answer
   x = 1,543.42