Finding the Third Proportional to 31,710 and 74,991

Step by Step Solution

1. Step 1: Write the proportion equation
   31,710 : 74,991 = 74,991 : x
2. Step 2: Convert to fraction form
   31,710/74,991 = 74,991/x
3. Step 3: Cross multiply
   31,710x = 74,991 × 74,991
4. Step 4: Simplify right side
   31,710x = 5,623,650,081
5. Step 5: Solve for x
   x = 5,623,650,081/31,710
6. Step 6: Final answer
   x = 177,346.27