Finding the Third Proportional to 10,081.50 and 21,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,081.50 : 21,682.50 = 21,682.50 : x
2. Step 2: Convert to fraction form
   10,081.50/21,682.50 = 21,682.50/x
3. Step 3: Cross multiply
   10,081.50x = 21,682.50 × 21,682.50
4. Step 4: Simplify right side
   10,081.50x = 470,130,806.25
5. Step 5: Solve for x
   x = 470,130,806.25/10,081.50
6. Step 6: Final answer
   x = 46,633.02