Finding the Third Proportional to 11,413 and 17,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,413 : 17,083.50 = 17,083.50 : x
2. Step 2: Convert to fraction form
   11,413/17,083.50 = 17,083.50/x
3. Step 3: Cross multiply
   11,413x = 17,083.50 × 17,083.50
4. Step 4: Simplify right side
   11,413x = 291,845,972.25
5. Step 5: Solve for x
   x = 291,845,972.25/11,413
6. Step 6: Final answer
   x = 25,571.36