Finding the Third Proportional to 11,612.50 and 27,692.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,612.50 : 27,692.50 = 27,692.50 : x
2. Step 2: Convert to fraction form
   11,612.50/27,692.50 = 27,692.50/x
3. Step 3: Cross multiply
   11,612.50x = 27,692.50 × 27,692.50
4. Step 4: Simplify right side
   11,612.50x = 766,874,556.25
5. Step 5: Solve for x
   x = 766,874,556.25/11,612.50
6. Step 6: Final answer
   x = 66,038.71