Finding the Third Proportional to 5,506.25 and 11,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,506.25 : 11,468.50 = 11,468.50 : x
2. Step 2: Convert to fraction form
   5,506.25/11,468.50 = 11,468.50/x
3. Step 3: Cross multiply
   5,506.25x = 11,468.50 × 11,468.50
4. Step 4: Simplify right side
   5,506.25x = 131,526,492.25
5. Step 5: Solve for x
   x = 131,526,492.25/5,506.25
6. Step 6: Final answer
   x = 23,886.76