Finding the Third Proportional to 31,024 and 67,296

Step by Step Solution

1. Step 1: Write the proportion equation
   31,024 : 67,296 = 67,296 : x
2. Step 2: Convert to fraction form
   31,024/67,296 = 67,296/x
3. Step 3: Cross multiply
   31,024x = 67,296 × 67,296
4. Step 4: Simplify right side
   31,024x = 4,528,751,616
5. Step 5: Solve for x
   x = 4,528,751,616/31,024
6. Step 6: Final answer
   x = 145,975.75