Finding the Third Proportional to 3,890.38 and 5,106.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,890.38 : 5,106.56 = 5,106.56 : x
2. Step 2: Convert to fraction form
   3,890.38/5,106.56 = 5,106.56/x
3. Step 3: Cross multiply
   3,890.38x = 5,106.56 × 5,106.56
4. Step 4: Simplify right side
   3,890.38x = 26,076,980.57
5. Step 5: Solve for x
   x = 26,076,980.57/3,890.38
6. Step 6: Final answer
   x = 6,702.95