Finding the Third Proportional to 17,580 and 26,338.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,580 : 26,338.50 = 26,338.50 : x
2. Step 2: Convert to fraction form
   17,580/26,338.50 = 26,338.50/x
3. Step 3: Cross multiply
   17,580x = 26,338.50 × 26,338.50
4. Step 4: Simplify right side
   17,580x = 693,716,582.25
5. Step 5: Solve for x
   x = 693,716,582.25/17,580
6. Step 6: Final answer
   x = 39,460.56