Finding the Third Proportional to 17,788.25 and 37,535.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,788.25 : 37,535.63 = 37,535.63 : x
2. Step 2: Convert to fraction form
   17,788.25/37,535.63 = 37,535.63/x
3. Step 3: Cross multiply
   17,788.25x = 37,535.63 × 37,535.63
4. Step 4: Simplify right side
   17,788.25x = 1,408,923,144.14
5. Step 5: Solve for x
   x = 1,408,923,144.14/17,788.25
6. Step 6: Final answer
   x = 79,205.27