Finding the Third Proportional to 31,692 and 45,270

Step by Step Solution

1. Step 1: Write the proportion equation
   31,692 : 45,270 = 45,270 : x
2. Step 2: Convert to fraction form
   31,692/45,270 = 45,270/x
3. Step 3: Cross multiply
   31,692x = 45,270 × 45,270
4. Step 4: Simplify right side
   31,692x = 2,049,372,900
5. Step 5: Solve for x
   x = 2,049,372,900/31,692
6. Step 6: Final answer
   x = 64,665.31