Finding the Third Proportional to 10,214.75 and 21,887.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.75 : 21,887.38 = 21,887.38 : x
2. Step 2: Convert to fraction form
   10,214.75/21,887.38 = 21,887.38/x
3. Step 3: Cross multiply
   10,214.75x = 21,887.38 × 21,887.38
4. Step 4: Simplify right side
   10,214.75x = 479,057,184.39
5. Step 5: Solve for x
   x = 479,057,184.39/10,214.75
6. Step 6: Final answer
   x = 46,898.57