Finding the Third Proportional to 2,125.41 and 3,188.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,125.41 : 3,188.53 = 3,188.53 : x
2. Step 2: Convert to fraction form
   2,125.41/3,188.53 = 3,188.53/x
3. Step 3: Cross multiply
   2,125.41x = 3,188.53 × 3,188.53
4. Step 4: Simplify right side
   2,125.41x = 10,166,731.53
5. Step 5: Solve for x
   x = 10,166,731.53/2,125.41
6. Step 6: Final answer
   x = 4,783.43