Finding the Third Proportional to 8,074 and 17,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,074 : 17,298.50 = 17,298.50 : x
2. Step 2: Convert to fraction form
   8,074/17,298.50 = 17,298.50/x
3. Step 3: Cross multiply
   8,074x = 17,298.50 × 17,298.50
4. Step 4: Simplify right side
   8,074x = 299,238,102.25
5. Step 5: Solve for x
   x = 299,238,102.25/8,074
6. Step 6: Final answer
   x = 37,061.94