Finding the Third Proportional to 2,087.25 and 4,538.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,087.25 : 4,538.63 = 4,538.63 : x
2. Step 2: Convert to fraction form
   2,087.25/4,538.63 = 4,538.63/x
3. Step 3: Cross multiply
   2,087.25x = 4,538.63 × 4,538.63
4. Step 4: Simplify right side
   2,087.25x = 20,599,116.89
5. Step 5: Solve for x
   x = 20,599,116.89/2,087.25
6. Step 6: Final answer
   x = 9,869.02