Finding the Third Proportional to 3,677.63 and 7,567.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.63 : 7,567.88 = 7,567.88 : x
2. Step 2: Convert to fraction form
   3,677.63/7,567.88 = 7,567.88/x
3. Step 3: Cross multiply
   3,677.63x = 7,567.88 × 7,567.88
4. Step 4: Simplify right side
   3,677.63x = 57,272,732.02
5. Step 5: Solve for x
   x = 57,272,732.02/3,677.63
6. Step 6: Final answer
   x = 15,573.29