Finding the Third Proportional to 5,111.50 and 7,692.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.50 : 7,692.63 = 7,692.63 : x
2. Step 2: Convert to fraction form
   5,111.50/7,692.63 = 7,692.63/x
3. Step 3: Cross multiply
   5,111.50x = 7,692.63 × 7,692.63
4. Step 4: Simplify right side
   5,111.50x = 59,176,479.39
5. Step 5: Solve for x
   x = 59,176,479.39/5,111.50
6. Step 6: Final answer
   x = 11,577.13