Finding the Third Proportional to 5,460 and 11,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,460 : 11,185.50 = 11,185.50 : x
2. Step 2: Convert to fraction form
   5,460/11,185.50 = 11,185.50/x
3. Step 3: Cross multiply
   5,460x = 11,185.50 × 11,185.50
4. Step 4: Simplify right side
   5,460x = 125,115,410.25
5. Step 5: Solve for x
   x = 125,115,410.25/5,460
6. Step 6: Final answer
   x = 22,914.91