Finding the Third Proportional to 7,570.13 and 17,953.31

Step by Step Solution

1. Step 1: Write the proportion equation
   7,570.13 : 17,953.31 = 17,953.31 : x
2. Step 2: Convert to fraction form
   7,570.13/17,953.31 = 17,953.31/x
3. Step 3: Cross multiply
   7,570.13x = 17,953.31 × 17,953.31
4. Step 4: Simplify right side
   7,570.13x = 322,321,429.72
5. Step 5: Solve for x
   x = 322,321,429.72/7,570.13
6. Step 6: Final answer
   x = 42,578.09