Finding the Third Proportional to 2,069.30 and 4,538.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,069.30 : 4,538.53 = 4,538.53 : x
2. Step 2: Convert to fraction form
   2,069.30/4,538.53 = 4,538.53/x
3. Step 3: Cross multiply
   2,069.30x = 4,538.53 × 4,538.53
4. Step 4: Simplify right side
   2,069.30x = 20,598,265.91
5. Step 5: Solve for x
   x = 20,598,265.91/2,069.30
6. Step 6: Final answer
   x = 9,954.23