Finding the Third Proportional to 10,478 and 21,807

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478 : 21,807 = 21,807 : x
2. Step 2: Convert to fraction form
   10,478/21,807 = 21,807/x
3. Step 3: Cross multiply
   10,478x = 21,807 × 21,807
4. Step 4: Simplify right side
   10,478x = 475,545,249
5. Step 5: Solve for x
   x = 475,545,249/10,478
6. Step 6: Final answer
   x = 45,385.12