Finding the Third Proportional to 11,478 and 23,692.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,478 : 23,692.50 = 23,692.50 : x
2. Step 2: Convert to fraction form
   11,478/23,692.50 = 23,692.50/x
3. Step 3: Cross multiply
   11,478x = 23,692.50 × 23,692.50
4. Step 4: Simplify right side
   11,478x = 561,334,556.25
5. Step 5: Solve for x
   x = 561,334,556.25/11,478
6. Step 6: Final answer
   x = 48,905.26