Finding the Third Proportional to 10,111.50 and 21,686.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111.50 : 21,686.63 = 21,686.63 : x
2. Step 2: Convert to fraction form
   10,111.50/21,686.63 = 21,686.63/x
3. Step 3: Cross multiply
   10,111.50x = 21,686.63 × 21,686.63
4. Step 4: Simplify right side
   10,111.50x = 470,309,703.89
5. Step 5: Solve for x
   x = 470,309,703.89/10,111.50
6. Step 6: Final answer
   x = 46,512.36