Finding the Third Proportional to 38,072 and 55,864

Step by Step Solution

1. Step 1: Write the proportion equation
   38,072 : 55,864 = 55,864 : x
2. Step 2: Convert to fraction form
   38,072/55,864 = 55,864/x
3. Step 3: Cross multiply
   38,072x = 55,864 × 55,864
4. Step 4: Simplify right side
   38,072x = 3,120,786,496
5. Step 5: Solve for x
   x = 3,120,786,496/38,072
6. Step 6: Final answer
   x = 81,970.65