Finding the Third Proportional to 3,685.50 and 7,889.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.50 : 7,889.63 = 7,889.63 : x
2. Step 2: Convert to fraction form
   3,685.50/7,889.63 = 7,889.63/x
3. Step 3: Cross multiply
   3,685.50x = 7,889.63 × 7,889.63
4. Step 4: Simplify right side
   3,685.50x = 62,246,182.64
5. Step 5: Solve for x
   x = 62,246,182.64/3,685.50
6. Step 6: Final answer
   x = 16,889.48