Finding the Third Proportional to 1,201.88 and 2,622.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,201.88 : 2,622.56 = 2,622.56 : x
2. Step 2: Convert to fraction form
   1,201.88/2,622.56 = 2,622.56/x
3. Step 3: Cross multiply
   1,201.88x = 2,622.56 × 2,622.56
4. Step 4: Simplify right side
   1,201.88x = 6,877,834.07
5. Step 5: Solve for x
   x = 6,877,834.07/1,201.88
6. Step 6: Final answer
   x = 5,722.59