Finding the Third Proportional to 8,032.50 and 17,405.53

Step by Step Solution

1. Step 1: Write the proportion equation
   8,032.50 : 17,405.53 = 17,405.53 : x
2. Step 2: Convert to fraction form
   8,032.50/17,405.53 = 17,405.53/x
3. Step 3: Cross multiply
   8,032.50x = 17,405.53 × 17,405.53
4. Step 4: Simplify right side
   8,032.50x = 302,952,518.09
5. Step 5: Solve for x
   x = 302,952,518.09/8,032.50
6. Step 6: Final answer
   x = 37,715.84