Finding the Third Proportional to 10,146.23 and 13,822.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146.23 : 13,822.10 = 13,822.10 : x
2. Step 2: Convert to fraction form
   10,146.23/13,822.10 = 13,822.10/x
3. Step 3: Cross multiply
   10,146.23x = 13,822.10 × 13,822.10
4. Step 4: Simplify right side
   10,146.23x = 191,050,491.60
5. Step 5: Solve for x
   x = 191,050,491.60/10,146.23
6. Step 6: Final answer
   x = 18,829.69