Finding the Third Proportional to 2,130.47 and 2,784.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,130.47 : 2,784.38 = 2,784.38 : x
2. Step 2: Convert to fraction form
   2,130.47/2,784.38 = 2,784.38/x
3. Step 3: Cross multiply
   2,130.47x = 2,784.38 × 2,784.38
4. Step 4: Simplify right side
   2,130.47x = 7,752,744.14
5. Step 5: Solve for x
   x = 7,752,744.14/2,130.47
6. Step 6: Final answer
   x = 3,638.99