Finding the Third Proportional to 10,004.50 and 17,655.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004.50 : 17,655.50 = 17,655.50 : x
2. Step 2: Convert to fraction form
   10,004.50/17,655.50 = 17,655.50/x
3. Step 3: Cross multiply
   10,004.50x = 17,655.50 × 17,655.50
4. Step 4: Simplify right side
   10,004.50x = 311,716,680.25
5. Step 5: Solve for x
   x = 311,716,680.25/10,004.50
6. Step 6: Final answer
   x = 31,157.65