Finding the Third Proportional to 1,832.47 and 3,732.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,832.47 : 3,732.80 = 3,732.80 : x
2. Step 2: Convert to fraction form
   1,832.47/3,732.80 = 3,732.80/x
3. Step 3: Cross multiply
   1,832.47x = 3,732.80 × 3,732.80
4. Step 4: Simplify right side
   1,832.47x = 13,933,816.25
5. Step 5: Solve for x
   x = 13,933,816.25/1,832.47
6. Step 6: Final answer
   x = 7,603.86