Finding the Third Proportional to 10,365 and 13,108.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,365 : 13,108.50 = 13,108.50 : x
2. Step 2: Convert to fraction form
   10,365/13,108.50 = 13,108.50/x
3. Step 3: Cross multiply
   10,365x = 13,108.50 × 13,108.50
4. Step 4: Simplify right side
   10,365x = 171,832,772.25
5. Step 5: Solve for x
   x = 171,832,772.25/10,365
6. Step 6: Final answer
   x = 16,578.17