Finding the Third Proportional to 34,038 and 49,870

Step by Step Solution

1. Step 1: Write the proportion equation
   34,038 : 49,870 = 49,870 : x
2. Step 2: Convert to fraction form
   34,038/49,870 = 49,870/x
3. Step 3: Cross multiply
   34,038x = 49,870 × 49,870
4. Step 4: Simplify right side
   34,038x = 2,487,016,900
5. Step 5: Solve for x
   x = 2,487,016,900/34,038
6. Step 6: Final answer
   x = 73,065.89