Finding the Third Proportional to 38,971.13 and 86,857.31

Step by Step Solution

1. Step 1: Write the proportion equation
   38,971.13 : 86,857.31 = 86,857.31 : x
2. Step 2: Convert to fraction form
   38,971.13/86,857.31 = 86,857.31/x
3. Step 3: Cross multiply
   38,971.13x = 86,857.31 × 86,857.31
4. Step 4: Simplify right side
   38,971.13x = 7,544,192,734.72
5. Step 5: Solve for x
   x = 7,544,192,734.72/38,971.13
6. Step 6: Final answer
   x = 193,584.17