Finding the Third Proportional to 31,964 and 67,298

Step by Step Solution

1. Step 1: Write the proportion equation
   31,964 : 67,298 = 67,298 : x
2. Step 2: Convert to fraction form
   31,964/67,298 = 67,298/x
3. Step 3: Cross multiply
   31,964x = 67,298 × 67,298
4. Step 4: Simplify right side
   31,964x = 4,529,020,804
5. Step 5: Solve for x
   x = 4,529,020,804/31,964
6. Step 6: Final answer
   x = 141,691.30