Finding the Third Proportional to 8,164 and 17,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,164 : 17,037.50 = 17,037.50 : x
2. Step 2: Convert to fraction form
   8,164/17,037.50 = 17,037.50/x
3. Step 3: Cross multiply
   8,164x = 17,037.50 × 17,037.50
4. Step 4: Simplify right side
   8,164x = 290,276,406.25
5. Step 5: Solve for x
   x = 290,276,406.25/8,164
6. Step 6: Final answer
   x = 35,555.66