Finding the Third Proportional to 23,058 and 31,296

Step by Step Solution

1. Step 1: Write the proportion equation
   23,058 : 31,296 = 31,296 : x
2. Step 2: Convert to fraction form
   23,058/31,296 = 31,296/x
3. Step 3: Cross multiply
   23,058x = 31,296 × 31,296
4. Step 4: Simplify right side
   23,058x = 979,439,616
5. Step 5: Solve for x
   x = 979,439,616/23,058
6. Step 6: Final answer
   x = 42,477.21