Finding the Third Proportional to 620.88 and 975.50

Step by Step Solution

1. Step 1: Write the proportion equation
   620.88 : 975.50 = 975.50 : x
2. Step 2: Convert to fraction form
   620.88/975.50 = 975.50/x
3. Step 3: Cross multiply
   620.88x = 975.50 × 975.50
4. Step 4: Simplify right side
   620.88x = 951,600.25
5. Step 5: Solve for x
   x = 951,600.25/620.88
6. Step 6: Final answer
   x = 1,532.68