Finding the Third Proportional to 31,139 and 48,302

Step by Step Solution

1. Step 1: Write the proportion equation
   31,139 : 48,302 = 48,302 : x
2. Step 2: Convert to fraction form
   31,139/48,302 = 48,302/x
3. Step 3: Cross multiply
   31,139x = 48,302 × 48,302
4. Step 4: Simplify right side
   31,139x = 2,333,083,204
5. Step 5: Solve for x
   x = 2,333,083,204/31,139
6. Step 6: Final answer
   x = 74,924.80