Finding the Third Proportional to 21,114 and 31,758

Step by Step Solution

1. Step 1: Write the proportion equation
   21,114 : 31,758 = 31,758 : x
2. Step 2: Convert to fraction form
   21,114/31,758 = 31,758/x
3. Step 3: Cross multiply
   21,114x = 31,758 × 31,758
4. Step 4: Simplify right side
   21,114x = 1,008,570,564
5. Step 5: Solve for x
   x = 1,008,570,564/21,114
6. Step 6: Final answer
   x = 47,767.86