Finding the Third Proportional to 5,872.50 and 12,818.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,872.50 : 12,818.25 = 12,818.25 : x
2. Step 2: Convert to fraction form
   5,872.50/12,818.25 = 12,818.25/x
3. Step 3: Cross multiply
   5,872.50x = 12,818.25 × 12,818.25
4. Step 4: Simplify right side
   5,872.50x = 164,307,533.06
5. Step 5: Solve for x
   x = 164,307,533.06/5,872.50
6. Step 6: Final answer
   x = 27,979.15