Finding the Third Proportional to 31,692 and 67,254

Step by Step Solution

1. Step 1: Write the proportion equation
   31,692 : 67,254 = 67,254 : x
2. Step 2: Convert to fraction form
   31,692/67,254 = 67,254/x
3. Step 3: Cross multiply
   31,692x = 67,254 × 67,254
4. Step 4: Simplify right side
   31,692x = 4,523,100,516
5. Step 5: Solve for x
   x = 4,523,100,516/31,692
6. Step 6: Final answer
   x = 142,720.58