Finding the Third Proportional to 9,127.69 and 13,822.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,127.69 : 13,822.31 = 13,822.31 : x
2. Step 2: Convert to fraction form
   9,127.69/13,822.31 = 13,822.31/x
3. Step 3: Cross multiply
   9,127.69x = 13,822.31 × 13,822.31
4. Step 4: Simplify right side
   9,127.69x = 191,056,322.85
5. Step 5: Solve for x
   x = 191,056,322.85/9,127.69
6. Step 6: Final answer
   x = 20,931.51