Finding the Third Proportional to 31,662 and 67,754.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,662 : 67,754.25 = 67,754.25 : x
2. Step 2: Convert to fraction form
   31,662/67,754.25 = 67,754.25/x
3. Step 3: Cross multiply
   31,662x = 67,754.25 × 67,754.25
4. Step 4: Simplify right side
   31,662x = 4,590,638,393.06
5. Step 5: Solve for x
   x = 4,590,638,393.06/31,662
6. Step 6: Final answer
   x = 144,988.89