Finding the Third Proportional to 17,792.50 and 41,185.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,792.50 : 41,185.25 = 41,185.25 : x
2. Step 2: Convert to fraction form
   17,792.50/41,185.25 = 41,185.25/x
3. Step 3: Cross multiply
   17,792.50x = 41,185.25 × 41,185.25
4. Step 4: Simplify right side
   17,792.50x = 1,696,224,817.56
5. Step 5: Solve for x
   x = 1,696,224,817.56/17,792.50
6. Step 6: Final answer
   x = 95,333.70