Finding the Third Proportional to 4,568.50 and 7,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,568.50 : 7,758.50 = 7,758.50 : x
2. Step 2: Convert to fraction form
   4,568.50/7,758.50 = 7,758.50/x
3. Step 3: Cross multiply
   4,568.50x = 7,758.50 × 7,758.50
4. Step 4: Simplify right side
   4,568.50x = 60,194,322.25
5. Step 5: Solve for x
   x = 60,194,322.25/4,568.50
6. Step 6: Final answer
   x = 13,175.95