Finding the Third Proportional to 7,820 and 17,067.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,820 : 17,067.50 = 17,067.50 : x
2. Step 2: Convert to fraction form
   7,820/17,067.50 = 17,067.50/x
3. Step 3: Cross multiply
   7,820x = 17,067.50 × 17,067.50
4. Step 4: Simplify right side
   7,820x = 291,299,556.25
5. Step 5: Solve for x
   x = 291,299,556.25/7,820
6. Step 6: Final answer
   x = 37,250.58