Finding the Third Proportional to 31,535 and 67,243

Step by Step Solution

1. Step 1: Write the proportion equation
   31,535 : 67,243 = 67,243 : x
2. Step 2: Convert to fraction form
   31,535/67,243 = 67,243/x
3. Step 3: Cross multiply
   31,535x = 67,243 × 67,243
4. Step 4: Simplify right side
   31,535x = 4,521,621,049
5. Step 5: Solve for x
   x = 4,521,621,049/31,535
6. Step 6: Final answer
   x = 143,384.21