Finding the Third Proportional to 31,266 and 67,457

Step by Step Solution

1. Step 1: Write the proportion equation
   31,266 : 67,457 = 67,457 : x
2. Step 2: Convert to fraction form
   31,266/67,457 = 67,457/x
3. Step 3: Cross multiply
   31,266x = 67,457 × 67,457
4. Step 4: Simplify right side
   31,266x = 4,550,446,849
5. Step 5: Solve for x
   x = 4,550,446,849/31,266
6. Step 6: Final answer
   x = 145,539.78