Finding the Third Proportional to 971.50 and 2,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   971.50 : 2,162.50 = 2,162.50 : x
2. Step 2: Convert to fraction form
   971.50/2,162.50 = 2,162.50/x
3. Step 3: Cross multiply
   971.50x = 2,162.50 × 2,162.50
4. Step 4: Simplify right side
   971.50x = 4,676,406.25
5. Step 5: Solve for x
   x = 4,676,406.25/971.50
6. Step 6: Final answer
   x = 4,813.59