Finding the Third Proportional to 31,653 and 74,720

Step by Step Solution

1. Step 1: Write the proportion equation
   31,653 : 74,720 = 74,720 : x
2. Step 2: Convert to fraction form
   31,653/74,720 = 74,720/x
3. Step 3: Cross multiply
   31,653x = 74,720 × 74,720
4. Step 4: Simplify right side
   31,653x = 5,583,078,400
5. Step 5: Solve for x
   x = 5,583,078,400/31,653
6. Step 6: Final answer
   x = 176,383.86