Finding the Third Proportional to 31,710 and 74,992

Step by Step Solution

1. Step 1: Write the proportion equation
   31,710 : 74,992 = 74,992 : x
2. Step 2: Convert to fraction form
   31,710/74,992 = 74,992/x
3. Step 3: Cross multiply
   31,710x = 74,992 × 74,992
4. Step 4: Simplify right side
   31,710x = 5,623,800,064
5. Step 5: Solve for x
   x = 5,623,800,064/31,710
6. Step 6: Final answer
   x = 177,351.00