Finding the Third Proportional to 3,200.26 and 4,897.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,200.26 : 4,897.81 = 4,897.81 : x
2. Step 2: Convert to fraction form
   3,200.26/4,897.81 = 4,897.81/x
3. Step 3: Cross multiply
   3,200.26x = 4,897.81 × 4,897.81
4. Step 4: Simplify right side
   3,200.26x = 23,988,548.15
5. Step 5: Solve for x
   x = 23,988,548.15/3,200.26
6. Step 6: Final answer
   x = 7,495.82