Finding the Third Proportional to 31,306 and 46,001

Step by Step Solution

1. Step 1: Write the proportion equation
   31,306 : 46,001 = 46,001 : x
2. Step 2: Convert to fraction form
   31,306/46,001 = 46,001/x
3. Step 3: Cross multiply
   31,306x = 46,001 × 46,001
4. Step 4: Simplify right side
   31,306x = 2,116,092,001
5. Step 5: Solve for x
   x = 2,116,092,001/31,306
6. Step 6: Final answer
   x = 67,593.82