Finding the Third Proportional to 968.25 and 1,538.72

Step by Step Solution

1. Step 1: Write the proportion equation
   968.25 : 1,538.72 = 1,538.72 : x
2. Step 2: Convert to fraction form
   968.25/1,538.72 = 1,538.72/x
3. Step 3: Cross multiply
   968.25x = 1,538.72 × 1,538.72
4. Step 4: Simplify right side
   968.25x = 2,367,655.39
5. Step 5: Solve for x
   x = 2,367,655.39/968.25
6. Step 6: Final answer
   x = 2,445.29