Finding the Third Proportional to 5,538.38 and 12,200.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,538.38 : 12,200.63 = 12,200.63 : x
2. Step 2: Convert to fraction form
   5,538.38/12,200.63 = 12,200.63/x
3. Step 3: Cross multiply
   5,538.38x = 12,200.63 × 12,200.63
4. Step 4: Simplify right side
   5,538.38x = 148,855,250.39
5. Step 5: Solve for x
   x = 148,855,250.39/5,538.38
6. Step 6: Final answer
   x = 26,877.06