Finding the Third Proportional to 17,416 and 26,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,416 : 26,533.50 = 26,533.50 : x
2. Step 2: Convert to fraction form
   17,416/26,533.50 = 26,533.50/x
3. Step 3: Cross multiply
   17,416x = 26,533.50 × 26,533.50
4. Step 4: Simplify right side
   17,416x = 704,026,622.25
5. Step 5: Solve for x
   x = 704,026,622.25/17,416
6. Step 6: Final answer
   x = 40,424.13