Finding the Third Proportional to 3,702.94 and 8,156.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,702.94 : 8,156.81 = 8,156.81 : x
2. Step 2: Convert to fraction form
   3,702.94/8,156.81 = 8,156.81/x
3. Step 3: Cross multiply
   3,702.94x = 8,156.81 × 8,156.81
4. Step 4: Simplify right side
   3,702.94x = 66,533,590.16
5. Step 5: Solve for x
   x = 66,533,590.16/3,702.94
6. Step 6: Final answer
   x = 17,967.79