Finding the Third Proportional to 13,729.50 and 37,201.78

Step by Step Solution

1. Step 1: Write the proportion equation
   13,729.50 : 37,201.78 = 37,201.78 : x
2. Step 2: Convert to fraction form
   13,729.50/37,201.78 = 37,201.78/x
3. Step 3: Cross multiply
   13,729.50x = 37,201.78 × 37,201.78
4. Step 4: Simplify right side
   13,729.50x = 1,383,972,528.17
5. Step 5: Solve for x
   x = 1,383,972,528.17/13,729.50
6. Step 6: Final answer
   x = 100,802.84