Finding the Third Proportional to 31,407 and 42,648

Step by Step Solution

1. Step 1: Write the proportion equation
   31,407 : 42,648 = 42,648 : x
2. Step 2: Convert to fraction form
   31,407/42,648 = 42,648/x
3. Step 3: Cross multiply
   31,407x = 42,648 × 42,648
4. Step 4: Simplify right side
   31,407x = 1,818,851,904
5. Step 5: Solve for x
   x = 1,818,851,904/31,407
6. Step 6: Final answer
   x = 57,912.31