Finding the Third Proportional to 2,127.09 and 2,978.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,127.09 : 2,978.02 = 2,978.02 : x
2. Step 2: Convert to fraction form
   2,127.09/2,978.02 = 2,978.02/x
3. Step 3: Cross multiply
   2,127.09x = 2,978.02 × 2,978.02
4. Step 4: Simplify right side
   2,127.09x = 8,868,577.06
5. Step 5: Solve for x
   x = 8,868,577.06/2,127.09
6. Step 6: Final answer
   x = 4,169.34