Finding the Third Proportional to 5,538.38 and 8,307.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,538.38 : 8,307.56 = 8,307.56 : x
2. Step 2: Convert to fraction form
   5,538.38/8,307.56 = 8,307.56/x
3. Step 3: Cross multiply
   5,538.38x = 8,307.56 × 8,307.56
4. Step 4: Simplify right side
   5,538.38x = 69,015,594.69
5. Step 5: Solve for x
   x = 69,015,594.69/5,538.38
6. Step 6: Final answer
   x = 12,461.34