Finding the Third Proportional to 3,778.50 and 7,748.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,778.50 : 7,748.06 = 7,748.06 : x
2. Step 2: Convert to fraction form
   3,778.50/7,748.06 = 7,748.06/x
3. Step 3: Cross multiply
   3,778.50x = 7,748.06 × 7,748.06
4. Step 4: Simplify right side
   3,778.50x = 60,032,472.50
5. Step 5: Solve for x
   x = 60,032,472.50/3,778.50
6. Step 6: Final answer
   x = 15,887.91