Finding the Third Proportional to 10,111.50 and 21,865.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111.50 : 21,865.50 = 21,865.50 : x
2. Step 2: Convert to fraction form
   10,111.50/21,865.50 = 21,865.50/x
3. Step 3: Cross multiply
   10,111.50x = 21,865.50 × 21,865.50
4. Step 4: Simplify right side
   10,111.50x = 478,100,090.25
5. Step 5: Solve for x
   x = 478,100,090.25/10,111.50
6. Step 6: Final answer
   x = 47,282.81