Finding the Third Proportional to 10,599 and 25,116

Step by Step Solution

1. Step 1: Write the proportion equation
   10,599 : 25,116 = 25,116 : x
2. Step 2: Convert to fraction form
   10,599/25,116 = 25,116/x
3. Step 3: Cross multiply
   10,599x = 25,116 × 25,116
4. Step 4: Simplify right side
   10,599x = 630,813,456
5. Step 5: Solve for x
   x = 630,813,456/10,599
6. Step 6: Final answer
   x = 59,516.32