Finding the Third Proportional to 4,978.42 and 7,458.01

Step by Step Solution

1. Step 1: Write the proportion equation
   4,978.42 : 7,458.01 = 7,458.01 : x
2. Step 2: Convert to fraction form
   4,978.42/7,458.01 = 7,458.01/x
3. Step 3: Cross multiply
   4,978.42x = 7,458.01 × 7,458.01
4. Step 4: Simplify right side
   4,978.42x = 55,621,938.80
5. Step 5: Solve for x
   x = 55,621,938.80/4,978.42
6. Step 6: Final answer
   x = 11,172.62