Finding the Third Proportional to 16,078 and 38,731

Step by Step Solution

1. Step 1: Write the proportion equation
   16,078 : 38,731 = 38,731 : x
2. Step 2: Convert to fraction form
   16,078/38,731 = 38,731/x
3. Step 3: Cross multiply
   16,078x = 38,731 × 38,731
4. Step 4: Simplify right side
   16,078x = 1,500,090,361
5. Step 5: Solve for x
   x = 1,500,090,361/16,078
6. Step 6: Final answer
   x = 93,300.81