Finding the Third Proportional to 17,627 and 39,692.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,627 : 39,692.50 = 39,692.50 : x
2. Step 2: Convert to fraction form
   17,627/39,692.50 = 39,692.50/x
3. Step 3: Cross multiply
   17,627x = 39,692.50 × 39,692.50
4. Step 4: Simplify right side
   17,627x = 1,575,494,556.25
5. Step 5: Solve for x
   x = 1,575,494,556.25/17,627
6. Step 6: Final answer
   x = 89,379.62