Finding the Third Proportional to 31,412 and 67,768

Step by Step Solution

1. Step 1: Write the proportion equation
   31,412 : 67,768 = 67,768 : x
2. Step 2: Convert to fraction form
   31,412/67,768 = 67,768/x
3. Step 3: Cross multiply
   31,412x = 67,768 × 67,768
4. Step 4: Simplify right side
   31,412x = 4,592,501,824
5. Step 5: Solve for x
   x = 4,592,501,824/31,412
6. Step 6: Final answer
   x = 146,202.15