Finding the Third Proportional to 13,216 and 31,904

Step by Step Solution

1. Step 1: Write the proportion equation
   13,216 : 31,904 = 31,904 : x
2. Step 2: Convert to fraction form
   13,216/31,904 = 31,904/x
3. Step 3: Cross multiply
   13,216x = 31,904 × 31,904
4. Step 4: Simplify right side
   13,216x = 1,017,865,216
5. Step 5: Solve for x
   x = 1,017,865,216/13,216
6. Step 6: Final answer
   x = 77,017.65