Finding the Third Proportional to 16,090 and 38,758

Step by Step Solution

1. Step 1: Write the proportion equation
   16,090 : 38,758 = 38,758 : x
2. Step 2: Convert to fraction form
   16,090/38,758 = 38,758/x
3. Step 3: Cross multiply
   16,090x = 38,758 × 38,758
4. Step 4: Simplify right side
   16,090x = 1,502,182,564
5. Step 5: Solve for x
   x = 1,502,182,564/16,090
6. Step 6: Final answer
   x = 93,361.25