Finding the Third Proportional to 9,688.50 and 10,579.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.50 : 10,579.50 = 10,579.50 : x
2. Step 2: Convert to fraction form
   9,688.50/10,579.50 = 10,579.50/x
3. Step 3: Cross multiply
   9,688.50x = 10,579.50 × 10,579.50
4. Step 4: Simplify right side
   9,688.50x = 111,925,820.25
5. Step 5: Solve for x
   x = 111,925,820.25/9,688.50
6. Step 6: Final answer
   x = 11,552.44