Finding the Third Proportional to 5,185 and 10,876.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,185 : 10,876.50 = 10,876.50 : x
2. Step 2: Convert to fraction form
   5,185/10,876.50 = 10,876.50/x
3. Step 3: Cross multiply
   5,185x = 10,876.50 × 10,876.50
4. Step 4: Simplify right side
   5,185x = 118,298,252.25
5. Step 5: Solve for x
   x = 118,298,252.25/5,185
6. Step 6: Final answer
   x = 22,815.48