Finding the Third Proportional to 10,978.66 and 23,622.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.66 : 23,622.26 = 23,622.26 : x
2. Step 2: Convert to fraction form
   10,978.66/23,622.26 = 23,622.26/x
3. Step 3: Cross multiply
   10,978.66x = 23,622.26 × 23,622.26
4. Step 4: Simplify right side
   10,978.66x = 558,011,064.16
5. Step 5: Solve for x
   x = 558,011,064.16/10,978.66
6. Step 6: Final answer
   x = 50,826.86