Finding the Third Proportional to 7,916.63 and 10,657.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,916.63 : 10,657.69 = 10,657.69 : x
2. Step 2: Convert to fraction form
   7,916.63/10,657.69 = 10,657.69/x
3. Step 3: Cross multiply
   7,916.63x = 10,657.69 × 10,657.69
4. Step 4: Simplify right side
   7,916.63x = 113,586,302.85
5. Step 5: Solve for x
   x = 113,586,302.85/7,916.63
6. Step 6: Final answer
   x = 14,347.82