Finding the Third Proportional to 1,546.50 and 2,365.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,546.50 : 2,365.88 = 2,365.88 : x
2. Step 2: Convert to fraction form
   1,546.50/2,365.88 = 2,365.88/x
3. Step 3: Cross multiply
   1,546.50x = 2,365.88 × 2,365.88
4. Step 4: Simplify right side
   1,546.50x = 5,597,364.52
5. Step 5: Solve for x
   x = 5,597,364.52/1,546.50
6. Step 6: Final answer
   x = 3,619.38