Finding the Third Proportional to 9,174 and 13,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,174 : 13,738.50 = 13,738.50 : x
2. Step 2: Convert to fraction form
   9,174/13,738.50 = 13,738.50/x
3. Step 3: Cross multiply
   9,174x = 13,738.50 × 13,738.50
4. Step 4: Simplify right side
   9,174x = 188,746,382.25
5. Step 5: Solve for x
   x = 188,746,382.25/9,174
6. Step 6: Final answer
   x = 20,574.06