Finding the Third Proportional to 31,123 and 46,707

Step by Step Solution

1. Step 1: Write the proportion equation
   31,123 : 46,707 = 46,707 : x
2. Step 2: Convert to fraction form
   31,123/46,707 = 46,707/x
3. Step 3: Cross multiply
   31,123x = 46,707 × 46,707
4. Step 4: Simplify right side
   31,123x = 2,181,543,849
5. Step 5: Solve for x
   x = 2,181,543,849/31,123
6. Step 6: Final answer
   x = 70,094.27