Finding the Third Proportional to 1,216.13 and 2,652.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,216.13 : 2,652.38 = 2,652.38 : x
2. Step 2: Convert to fraction form
   1,216.13/2,652.38 = 2,652.38/x
3. Step 3: Cross multiply
   1,216.13x = 2,652.38 × 2,652.38
4. Step 4: Simplify right side
   1,216.13x = 7,035,093.14
5. Step 5: Solve for x
   x = 7,035,093.14/1,216.13
6. Step 6: Final answer
   x = 5,784.84