Finding the Third Proportional to 17,623 and 25,773

Step by Step Solution

1. Step 1: Write the proportion equation
   17,623 : 25,773 = 25,773 : x
2. Step 2: Convert to fraction form
   17,623/25,773 = 25,773/x
3. Step 3: Cross multiply
   17,623x = 25,773 × 25,773
4. Step 4: Simplify right side
   17,623x = 664,247,529
5. Step 5: Solve for x
   x = 664,247,529/17,623
6. Step 6: Final answer
   x = 37,692.08