Finding the Third Proportional to 13,083 and 17,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,083 : 17,410.50 = 17,410.50 : x
2. Step 2: Convert to fraction form
   13,083/17,410.50 = 17,410.50/x
3. Step 3: Cross multiply
   13,083x = 17,410.50 × 17,410.50
4. Step 4: Simplify right side
   13,083x = 303,125,510.25
5. Step 5: Solve for x
   x = 303,125,510.25/13,083
6. Step 6: Final answer
   x = 23,169.42