Finding the Third Proportional to 15,407 and 31,870

Step by Step Solution

1. Step 1: Write the proportion equation
   15,407 : 31,870 = 31,870 : x
2. Step 2: Convert to fraction form
   15,407/31,870 = 31,870/x
3. Step 3: Cross multiply
   15,407x = 31,870 × 31,870
4. Step 4: Simplify right side
   15,407x = 1,015,696,900
5. Step 5: Solve for x
   x = 1,015,696,900/15,407
6. Step 6: Final answer
   x = 65,924.38