Finding the Third Proportional to 1,214.37 and 2,622.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,214.37 : 2,622.59 = 2,622.59 : x
2. Step 2: Convert to fraction form
   1,214.37/2,622.59 = 2,622.59/x
3. Step 3: Cross multiply
   1,214.37x = 2,622.59 × 2,622.59
4. Step 4: Simplify right side
   1,214.37x = 6,877,957.00
5. Step 5: Solve for x
   x = 6,877,957.00/1,214.37
6. Step 6: Final answer
   x = 5,663.82