Finding the Third Proportional to 38,300 and 81,016

Step by Step Solution

1. Step 1: Write the proportion equation
   38,300 : 81,016 = 81,016 : x
2. Step 2: Convert to fraction form
   38,300/81,016 = 81,016/x
3. Step 3: Cross multiply
   38,300x = 81,016 × 81,016
4. Step 4: Simplify right side
   38,300x = 6,563,592,256
5. Step 5: Solve for x
   x = 6,563,592,256/38,300
6. Step 6: Final answer
   x = 171,373.17