Finding the Third Proportional to 1,561.50 and 3,792.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,561.50 : 3,792.38 = 3,792.38 : x
2. Step 2: Convert to fraction form
   1,561.50/3,792.38 = 3,792.38/x
3. Step 3: Cross multiply
   1,561.50x = 3,792.38 × 3,792.38
4. Step 4: Simplify right side
   1,561.50x = 14,382,108.14
5. Step 5: Solve for x
   x = 14,382,108.14/1,561.50
6. Step 6: Final answer
   x = 9,210.44