Finding the Third Proportional to 21,977 and 31,117

Step by Step Solution

1. Step 1: Write the proportion equation
   21,977 : 31,117 = 31,117 : x
2. Step 2: Convert to fraction form
   21,977/31,117 = 31,117/x
3. Step 3: Cross multiply
   21,977x = 31,117 × 31,117
4. Step 4: Simplify right side
   21,977x = 968,267,689
5. Step 5: Solve for x
   x = 968,267,689/21,977
6. Step 6: Final answer
   x = 44,058.23