Finding the Third Proportional to 19,748 and 31,406

Step by Step Solution

1. Step 1: Write the proportion equation
   19,748 : 31,406 = 31,406 : x
2. Step 2: Convert to fraction form
   19,748/31,406 = 31,406/x
3. Step 3: Cross multiply
   19,748x = 31,406 × 31,406
4. Step 4: Simplify right side
   19,748x = 986,336,836
5. Step 5: Solve for x
   x = 986,336,836/19,748
6. Step 6: Final answer
   x = 49,946.16