Finding the Third Proportional to 31,122 and 46,706

Step by Step Solution

1. Step 1: Write the proportion equation
   31,122 : 46,706 = 46,706 : x
2. Step 2: Convert to fraction form
   31,122/46,706 = 46,706/x
3. Step 3: Cross multiply
   31,122x = 46,706 × 46,706
4. Step 4: Simplify right side
   31,122x = 2,181,450,436
5. Step 5: Solve for x
   x = 2,181,450,436/31,122
6. Step 6: Final answer
   x = 70,093.52