Finding the Third Proportional to 31,714 and 48,938

Step by Step Solution

1. Step 1: Write the proportion equation
   31,714 : 48,938 = 48,938 : x
2. Step 2: Convert to fraction form
   31,714/48,938 = 48,938/x
3. Step 3: Cross multiply
   31,714x = 48,938 × 48,938
4. Step 4: Simplify right side
   31,714x = 2,394,927,844
5. Step 5: Solve for x
   x = 2,394,927,844/31,714
6. Step 6: Final answer
   x = 75,516.42