Finding the Third Proportional to 11,588.50 and 24,818

Step by Step Solution

1. Step 1: Write the proportion equation
   11,588.50 : 24,818 = 24,818 : x
2. Step 2: Convert to fraction form
   11,588.50/24,818 = 24,818/x
3. Step 3: Cross multiply
   11,588.50x = 24,818 × 24,818
4. Step 4: Simplify right side
   11,588.50x = 615,933,124
5. Step 5: Solve for x
   x = 615,933,124/11,588.50
6. Step 6: Final answer
   x = 53,150.38