Finding the Third Proportional to 8,505 and 17,784.56

Step by Step Solution

1. Step 1: Write the proportion equation
   8,505 : 17,784.56 = 17,784.56 : x
2. Step 2: Convert to fraction form
   8,505/17,784.56 = 17,784.56/x
3. Step 3: Cross multiply
   8,505x = 17,784.56 × 17,784.56
4. Step 4: Simplify right side
   8,505x = 316,290,663.32
5. Step 5: Solve for x
   x = 316,290,663.32/8,505
6. Step 6: Final answer
   x = 37,188.79