Finding the Third Proportional to 10,256.63 and 22,114.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.63 : 22,114.69 = 22,114.69 : x
2. Step 2: Convert to fraction form
   10,256.63/22,114.69 = 22,114.69/x
3. Step 3: Cross multiply
   10,256.63x = 22,114.69 × 22,114.69
4. Step 4: Simplify right side
   10,256.63x = 489,059,403.22
5. Step 5: Solve for x
   x = 489,059,403.22/10,256.63
6. Step 6: Final answer
   x = 47,682.29