Finding the Third Proportional to 3,536.63 and 7,779.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,536.63 : 7,779.38 = 7,779.38 : x
2. Step 2: Convert to fraction form
   3,536.63/7,779.38 = 7,779.38/x
3. Step 3: Cross multiply
   3,536.63x = 7,779.38 × 7,779.38
4. Step 4: Simplify right side
   3,536.63x = 60,518,675.39
5. Step 5: Solve for x
   x = 60,518,675.39/3,536.63
6. Step 6: Final answer
   x = 17,111.99