Finding the Third Proportional to 31,194 and 41,202

Step by Step Solution

1. Step 1: Write the proportion equation
   31,194 : 41,202 = 41,202 : x
2. Step 2: Convert to fraction form
   31,194/41,202 = 41,202/x
3. Step 3: Cross multiply
   31,194x = 41,202 × 41,202
4. Step 4: Simplify right side
   31,194x = 1,697,604,804
5. Step 5: Solve for x
   x = 1,697,604,804/31,194
6. Step 6: Final answer
   x = 54,420.88