Finding the Third Proportional to 10,111 and 21,685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111 : 21,685.50 = 21,685.50 : x
2. Step 2: Convert to fraction form
   10,111/21,685.50 = 21,685.50/x
3. Step 3: Cross multiply
   10,111x = 21,685.50 × 21,685.50
4. Step 4: Simplify right side
   10,111x = 470,260,910.25
5. Step 5: Solve for x
   x = 470,260,910.25/10,111
6. Step 6: Final answer
   x = 46,509.83