Finding the Third Proportional to 10,237.50 and 16,826.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,237.50 : 16,826.63 = 16,826.63 : x
2. Step 2: Convert to fraction form
   10,237.50/16,826.63 = 16,826.63/x
3. Step 3: Cross multiply
   10,237.50x = 16,826.63 × 16,826.63
4. Step 4: Simplify right side
   10,237.50x = 283,135,308.89
5. Step 5: Solve for x
   x = 283,135,308.89/10,237.50
6. Step 6: Final answer
   x = 27,656.68