Finding the Third Proportional to 3,633.61 and 7,700.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,633.61 : 7,700.06 = 7,700.06 : x
2. Step 2: Convert to fraction form
   3,633.61/7,700.06 = 7,700.06/x
3. Step 3: Cross multiply
   3,633.61x = 7,700.06 × 7,700.06
4. Step 4: Simplify right side
   3,633.61x = 59,290,962.50
5. Step 5: Solve for x
   x = 59,290,962.50/3,633.61
6. Step 6: Final answer
   x = 16,317.37