Finding the Third Proportional to 17,788 and 25,027.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,788 : 25,027.50 = 25,027.50 : x
2. Step 2: Convert to fraction form
   17,788/25,027.50 = 25,027.50/x
3. Step 3: Cross multiply
   17,788x = 25,027.50 × 25,027.50
4. Step 4: Simplify right side
   17,788x = 626,375,756.25
5. Step 5: Solve for x
   x = 626,375,756.25/17,788
6. Step 6: Final answer
   x = 35,213.39