Finding the Third Proportional to 13,422 and 31,582

Step by Step Solution

1. Step 1: Write the proportion equation
   13,422 : 31,582 = 31,582 : x
2. Step 2: Convert to fraction form
   13,422/31,582 = 31,582/x
3. Step 3: Cross multiply
   13,422x = 31,582 × 31,582
4. Step 4: Simplify right side
   13,422x = 997,422,724
5. Step 5: Solve for x
   x = 997,422,724/13,422
6. Step 6: Final answer
   x = 74,312.53