Finding the Third Proportional to 13,349 and 31,185

Step by Step Solution

1. Step 1: Write the proportion equation
   13,349 : 31,185 = 31,185 : x
2. Step 2: Convert to fraction form
   13,349/31,185 = 31,185/x
3. Step 3: Cross multiply
   13,349x = 31,185 × 31,185
4. Step 4: Simplify right side
   13,349x = 972,504,225
5. Step 5: Solve for x
   x = 972,504,225/13,349
6. Step 6: Final answer
   x = 72,852.22