Finding the Third Proportional to 21,600 and 31,216

Step by Step Solution

1. Step 1: Write the proportion equation
   21,600 : 31,216 = 31,216 : x
2. Step 2: Convert to fraction form
   21,600/31,216 = 31,216/x
3. Step 3: Cross multiply
   21,600x = 31,216 × 31,216
4. Step 4: Simplify right side
   21,600x = 974,438,656
5. Step 5: Solve for x
   x = 974,438,656/21,600
6. Step 6: Final answer
   x = 45,112.90