Finding the Third Proportional to 5,855.25 and 7,916.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,855.25 : 7,916.63 = 7,916.63 : x
2. Step 2: Convert to fraction form
   5,855.25/7,916.63 = 7,916.63/x
3. Step 3: Cross multiply
   5,855.25x = 7,916.63 × 7,916.63
4. Step 4: Simplify right side
   5,855.25x = 62,672,951.39
5. Step 5: Solve for x
   x = 62,672,951.39/5,855.25
6. Step 6: Final answer
   x = 10,703.72