Finding the Third Proportional to 9,724.50 and 10,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,724.50 : 10,588.50 = 10,588.50 : x
2. Step 2: Convert to fraction form
   9,724.50/10,588.50 = 10,588.50/x
3. Step 3: Cross multiply
   9,724.50x = 10,588.50 × 10,588.50
4. Step 4: Simplify right side
   9,724.50x = 112,116,332.25
5. Step 5: Solve for x
   x = 112,116,332.25/9,724.50
6. Step 6: Final answer
   x = 11,529.26