Finding the Third Proportional to 962.50 and 2,086.88

Step by Step Solution

1. Step 1: Write the proportion equation
   962.50 : 2,086.88 = 2,086.88 : x
2. Step 2: Convert to fraction form
   962.50/2,086.88 = 2,086.88/x
3. Step 3: Cross multiply
   962.50x = 2,086.88 × 2,086.88
4. Step 4: Simplify right side
   962.50x = 4,355,047.27
5. Step 5: Solve for x
   x = 4,355,047.27/962.50
6. Step 6: Final answer
   x = 4,524.72