Finding the Third Proportional to 971.72 and 2,263.50

Step by Step Solution

1. Step 1: Write the proportion equation
   971.72 : 2,263.50 = 2,263.50 : x
2. Step 2: Convert to fraction form
   971.72/2,263.50 = 2,263.50/x
3. Step 3: Cross multiply
   971.72x = 2,263.50 × 2,263.50
4. Step 4: Simplify right side
   971.72x = 5,123,432.25
5. Step 5: Solve for x
   x = 5,123,432.25/971.72
6. Step 6: Final answer
   x = 5,272.55