Finding the Third Proportional to 9,168 and 13,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,168 : 13,402.50 = 13,402.50 : x
2. Step 2: Convert to fraction form
   9,168/13,402.50 = 13,402.50/x
3. Step 3: Cross multiply
   9,168x = 13,402.50 × 13,402.50
4. Step 4: Simplify right side
   9,168x = 179,627,006.25
5. Step 5: Solve for x
   x = 179,627,006.25/9,168
6. Step 6: Final answer
   x = 19,592.82