Finding the Third Proportional to 7,973.75 and 17,404.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,973.75 : 17,404.75 = 17,404.75 : x
2. Step 2: Convert to fraction form
   7,973.75/17,404.75 = 17,404.75/x
3. Step 3: Cross multiply
   7,973.75x = 17,404.75 × 17,404.75
4. Step 4: Simplify right side
   7,973.75x = 302,925,322.56
5. Step 5: Solve for x
   x = 302,925,322.56/7,973.75
6. Step 6: Final answer
   x = 37,990.32