Finding the Third Proportional to 26,509 and 57,692.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,509 : 57,692.50 = 57,692.50 : x
2. Step 2: Convert to fraction form
   26,509/57,692.50 = 57,692.50/x
3. Step 3: Cross multiply
   26,509x = 57,692.50 × 57,692.50
4. Step 4: Simplify right side
   26,509x = 3,328,424,556.25
5. Step 5: Solve for x
   x = 3,328,424,556.25/26,509
6. Step 6: Final answer
   x = 125,558.28