Finding the Third Proportional to 6,100.31 and 11,557.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,100.31 : 11,557.69 = 11,557.69 : x
2. Step 2: Convert to fraction form
   6,100.31/11,557.69 = 11,557.69/x
3. Step 3: Cross multiply
   6,100.31x = 11,557.69 × 11,557.69
4. Step 4: Simplify right side
   6,100.31x = 133,580,140.35
5. Step 5: Solve for x
   x = 133,580,140.35/6,100.31
6. Step 6: Final answer
   x = 21,897.26