Finding the Third Proportional to 5,521.50 and 12,774.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,521.50 : 12,774.38 = 12,774.38 : x
2. Step 2: Convert to fraction form
   5,521.50/12,774.38 = 12,774.38/x
3. Step 3: Cross multiply
   5,521.50x = 12,774.38 × 12,774.38
4. Step 4: Simplify right side
   5,521.50x = 163,184,656.64
5. Step 5: Solve for x
   x = 163,184,656.64/5,521.50
6. Step 6: Final answer
   x = 29,554.41