Finding the Third Proportional to 23,808 and 38,128

Step by Step Solution

1. Step 1: Write the proportion equation
   23,808 : 38,128 = 38,128 : x
2. Step 2: Convert to fraction form
   23,808/38,128 = 38,128/x
3. Step 3: Cross multiply
   23,808x = 38,128 × 38,128
4. Step 4: Simplify right side
   23,808x = 1,453,744,384
5. Step 5: Solve for x
   x = 1,453,744,384/23,808
6. Step 6: Final answer
   x = 61,061.17