Finding the Third Proportional to 21,386 and 31,659

Step by Step Solution

1. Step 1: Write the proportion equation
   21,386 : 31,659 = 31,659 : x
2. Step 2: Convert to fraction form
   21,386/31,659 = 31,659/x
3. Step 3: Cross multiply
   21,386x = 31,659 × 31,659
4. Step 4: Simplify right side
   21,386x = 1,002,292,281
5. Step 5: Solve for x
   x = 1,002,292,281/21,386
6. Step 6: Final answer
   x = 46,866.75