Finding the Third Proportional to 17,824.50 and 26,455.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,824.50 : 26,455.50 = 26,455.50 : x
2. Step 2: Convert to fraction form
   17,824.50/26,455.50 = 26,455.50/x
3. Step 3: Cross multiply
   17,824.50x = 26,455.50 × 26,455.50
4. Step 4: Simplify right side
   17,824.50x = 699,893,480.25
5. Step 5: Solve for x
   x = 699,893,480.25/17,824.50
6. Step 6: Final answer
   x = 39,265.81