Finding the Third Proportional to 3,779.81 and 8,138.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,779.81 : 8,138.06 = 8,138.06 : x
2. Step 2: Convert to fraction form
   3,779.81/8,138.06 = 8,138.06/x
3. Step 3: Cross multiply
   3,779.81x = 8,138.06 × 8,138.06
4. Step 4: Simplify right side
   3,779.81x = 66,228,061.25
5. Step 5: Solve for x
   x = 66,228,061.25/3,779.81
6. Step 6: Final answer
   x = 17,521.52