Finding the Third Proportional to 6,175.25 and 13,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,175.25 : 13,322.50 = 13,322.50 : x
2. Step 2: Convert to fraction form
   6,175.25/13,322.50 = 13,322.50/x
3. Step 3: Cross multiply
   6,175.25x = 13,322.50 × 13,322.50
4. Step 4: Simplify right side
   6,175.25x = 177,489,006.25
5. Step 5: Solve for x
   x = 177,489,006.25/6,175.25
6. Step 6: Final answer
   x = 28,742.00