Finding the Third Proportional to 15,742 and 31,938

Step by Step Solution

1. Step 1: Write the proportion equation
   15,742 : 31,938 = 31,938 : x
2. Step 2: Convert to fraction form
   15,742/31,938 = 31,938/x
3. Step 3: Cross multiply
   15,742x = 31,938 × 31,938
4. Step 4: Simplify right side
   15,742x = 1,020,035,844
5. Step 5: Solve for x
   x = 1,020,035,844/15,742
6. Step 6: Final answer
   x = 64,797.09