Finding the Third Proportional to 10,792.13 and 23,585.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,792.13 : 23,585.63 = 23,585.63 : x
2. Step 2: Convert to fraction form
   10,792.13/23,585.63 = 23,585.63/x
3. Step 3: Cross multiply
   10,792.13x = 23,585.63 × 23,585.63
4. Step 4: Simplify right side
   10,792.13x = 556,281,706.64
5. Step 5: Solve for x
   x = 556,281,706.64/10,792.13
6. Step 6: Final answer
   x = 51,545.15