Finding the Third Proportional to 962.50 and 2,254

Step by Step Solution

1. Step 1: Write the proportion equation
   962.50 : 2,254 = 2,254 : x
2. Step 2: Convert to fraction form
   962.50/2,254 = 2,254/x
3. Step 3: Cross multiply
   962.50x = 2,254 × 2,254
4. Step 4: Simplify right side
   962.50x = 5,080,516
5. Step 5: Solve for x
   x = 5,080,516/962.50
6. Step 6: Final answer
   x = 5,278.46