Finding the Third Proportional to 3,942 and 5,298.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,942 : 5,298.75 = 5,298.75 : x
2. Step 2: Convert to fraction form
   3,942/5,298.75 = 5,298.75/x
3. Step 3: Cross multiply
   3,942x = 5,298.75 × 5,298.75
4. Step 4: Simplify right side
   3,942x = 28,076,751.56
5. Step 5: Solve for x
   x = 28,076,751.56/3,942
6. Step 6: Final answer
   x = 7,122.46