Finding the Third Proportional to 5,039.63 and 7,692.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,039.63 : 7,692.75 = 7,692.75 : x
2. Step 2: Convert to fraction form
   5,039.63/7,692.75 = 7,692.75/x
3. Step 3: Cross multiply
   5,039.63x = 7,692.75 × 7,692.75
4. Step 4: Simplify right side
   5,039.63x = 59,178,402.56
5. Step 5: Solve for x
   x = 59,178,402.56/5,039.63
6. Step 6: Final answer
   x = 11,742.62