Finding the Third Proportional to 31,606 and 46,109

Step by Step Solution

1. Step 1: Write the proportion equation
   31,606 : 46,109 = 46,109 : x
2. Step 2: Convert to fraction form
   31,606/46,109 = 46,109/x
3. Step 3: Cross multiply
   31,606x = 46,109 × 46,109
4. Step 4: Simplify right side
   31,606x = 2,126,039,881
5. Step 5: Solve for x
   x = 2,126,039,881/31,606
6. Step 6: Final answer
   x = 67,266.97