Finding the Third Proportional to 13,422 and 31,199

Step by Step Solution

1. Step 1: Write the proportion equation
   13,422 : 31,199 = 31,199 : x
2. Step 2: Convert to fraction form
   13,422/31,199 = 31,199/x
3. Step 3: Cross multiply
   13,422x = 31,199 × 31,199
4. Step 4: Simplify right side
   13,422x = 973,377,601
5. Step 5: Solve for x
   x = 973,377,601/13,422
6. Step 6: Final answer
   x = 72,521.06