Finding the Third Proportional to 6,557.63 and 13,854.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,557.63 : 13,854.38 = 13,854.38 : x
2. Step 2: Convert to fraction form
   6,557.63/13,854.38 = 13,854.38/x
3. Step 3: Cross multiply
   6,557.63x = 13,854.38 × 13,854.38
4. Step 4: Simplify right side
   6,557.63x = 191,943,706.64
5. Step 5: Solve for x
   x = 191,943,706.64/6,557.63
6. Step 6: Final answer
   x = 29,270.31