Finding the Third Proportional to 5,037.61 and 7,826.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,037.61 : 7,826.63 = 7,826.63 : x
2. Step 2: Convert to fraction form
   5,037.61/7,826.63 = 7,826.63/x
3. Step 3: Cross multiply
   5,037.61x = 7,826.63 × 7,826.63
4. Step 4: Simplify right side
   5,037.61x = 61,256,058.89
5. Step 5: Solve for x
   x = 61,256,058.89/5,037.61
6. Step 6: Final answer
   x = 12,159.75