Finding the Third Proportional to 31,160 and 42,852

Step by Step Solution

1. Step 1: Write the proportion equation
   31,160 : 42,852 = 42,852 : x
2. Step 2: Convert to fraction form
   31,160/42,852 = 42,852/x
3. Step 3: Cross multiply
   31,160x = 42,852 × 42,852
4. Step 4: Simplify right side
   31,160x = 1,836,293,904
5. Step 5: Solve for x
   x = 1,836,293,904/31,160
6. Step 6: Final answer
   x = 58,931.13