Finding the Third Proportional to 31,874 and 70,038

Step by Step Solution

1. Step 1: Write the proportion equation
   31,874 : 70,038 = 70,038 : x
2. Step 2: Convert to fraction form
   31,874/70,038 = 70,038/x
3. Step 3: Cross multiply
   31,874x = 70,038 × 70,038
4. Step 4: Simplify right side
   31,874x = 4,905,321,444
5. Step 5: Solve for x
   x = 4,905,321,444/31,874
6. Step 6: Final answer
   x = 153,897.27