Finding the Third Proportional to 31,302 and 67,806

Step by Step Solution

1. Step 1: Write the proportion equation
   31,302 : 67,806 = 67,806 : x
2. Step 2: Convert to fraction form
   31,302/67,806 = 67,806/x
3. Step 3: Cross multiply
   31,302x = 67,806 × 67,806
4. Step 4: Simplify right side
   31,302x = 4,597,653,636
5. Step 5: Solve for x
   x = 4,597,653,636/31,302
6. Step 6: Final answer
   x = 146,880.51