Finding the Third Proportional to 7,886.81 and 16,005.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,886.81 : 16,005.38 = 16,005.38 : x
2. Step 2: Convert to fraction form
   7,886.81/16,005.38 = 16,005.38/x
3. Step 3: Cross multiply
   7,886.81x = 16,005.38 × 16,005.38
4. Step 4: Simplify right side
   7,886.81x = 256,172,028.89
5. Step 5: Solve for x
   x = 256,172,028.89/7,886.81
6. Step 6: Final answer
   x = 32,481.06