Finding the Third Proportional to 10,185.75 and 21,642.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.75 : 21,642.19 = 21,642.19 : x
2. Step 2: Convert to fraction form
   10,185.75/21,642.19 = 21,642.19/x
3. Step 3: Cross multiply
   10,185.75x = 21,642.19 × 21,642.19
4. Step 4: Simplify right side
   10,185.75x = 468,384,279.79
5. Step 5: Solve for x
   x = 468,384,279.79/10,185.75
6. Step 6: Final answer
   x = 45,984.27