Finding the Third Proportional to 31,298 and 68,526

Step by Step Solution

1. Step 1: Write the proportion equation
   31,298 : 68,526 = 68,526 : x
2. Step 2: Convert to fraction form
   31,298/68,526 = 68,526/x
3. Step 3: Cross multiply
   31,298x = 68,526 × 68,526
4. Step 4: Simplify right side
   31,298x = 4,695,812,676
5. Step 5: Solve for x
   x = 4,695,812,676/31,298
6. Step 6: Final answer
   x = 150,035.55