Finding the Third Proportional to 3,613.50 and 7,844.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,613.50 : 7,844.63 = 7,844.63 : x
2. Step 2: Convert to fraction form
   3,613.50/7,844.63 = 7,844.63/x
3. Step 3: Cross multiply
   3,613.50x = 7,844.63 × 7,844.63
4. Step 4: Simplify right side
   3,613.50x = 61,538,141.39
5. Step 5: Solve for x
   x = 61,538,141.39/3,613.50
6. Step 6: Final answer
   x = 17,030.07