Finding the Third Proportional to 7,824.94 and 17,087.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,824.94 : 17,087.63 = 17,087.63 : x
2. Step 2: Convert to fraction form
   7,824.94/17,087.63 = 17,087.63/x
3. Step 3: Cross multiply
   7,824.94x = 17,087.63 × 17,087.63
4. Step 4: Simplify right side
   7,824.94x = 291,986,928.14
5. Step 5: Solve for x
   x = 291,986,928.14/7,824.94
6. Step 6: Final answer
   x = 37,314.92