Finding the Third Proportional to 17,779.50 and 27,536.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,779.50 : 27,536.25 = 27,536.25 : x
2. Step 2: Convert to fraction form
   17,779.50/27,536.25 = 27,536.25/x
3. Step 3: Cross multiply
   17,779.50x = 27,536.25 × 27,536.25
4. Step 4: Simplify right side
   17,779.50x = 758,245,064.06
5. Step 5: Solve for x
   x = 758,245,064.06/17,779.50
6. Step 6: Final answer
   x = 42,647.15