Finding the Third Proportional to 11,712 and 21,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,712 : 21,763.50 = 21,763.50 : x
2. Step 2: Convert to fraction form
   11,712/21,763.50 = 21,763.50/x
3. Step 3: Cross multiply
   11,712x = 21,763.50 × 21,763.50
4. Step 4: Simplify right side
   11,712x = 473,649,932.25
5. Step 5: Solve for x
   x = 473,649,932.25/11,712
6. Step 6: Final answer
   x = 40,441.42