Finding the Third Proportional to 3,638.63 and 7,753.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,638.63 : 7,753.88 = 7,753.88 : x
2. Step 2: Convert to fraction form
   3,638.63/7,753.88 = 7,753.88/x
3. Step 3: Cross multiply
   3,638.63x = 7,753.88 × 7,753.88
4. Step 4: Simplify right side
   3,638.63x = 60,122,577.52
5. Step 5: Solve for x
   x = 60,122,577.52/3,638.63
6. Step 6: Final answer
   x = 16,523.43