Finding the Third Proportional to 9,820.50 and 10,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,820.50 : 10,738.50 = 10,738.50 : x
2. Step 2: Convert to fraction form
   9,820.50/10,738.50 = 10,738.50/x
3. Step 3: Cross multiply
   9,820.50x = 10,738.50 × 10,738.50
4. Step 4: Simplify right side
   9,820.50x = 115,315,382.25
5. Step 5: Solve for x
   x = 115,315,382.25/9,820.50
6. Step 6: Final answer
   x = 11,742.31