Finding the Third Proportional to 3,196.88 and 4,906.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,196.88 : 4,906.75 = 4,906.75 : x
2. Step 2: Convert to fraction form
   3,196.88/4,906.75 = 4,906.75/x
3. Step 3: Cross multiply
   3,196.88x = 4,906.75 × 4,906.75
4. Step 4: Simplify right side
   3,196.88x = 24,076,195.56
5. Step 5: Solve for x
   x = 24,076,195.56/3,196.88
6. Step 6: Final answer
   x = 7,531.17