Finding the Third Proportional to 22,606 and 35,003

Step by Step Solution

1. Step 1: Write the proportion equation
   22,606 : 35,003 = 35,003 : x
2. Step 2: Convert to fraction form
   22,606/35,003 = 35,003/x
3. Step 3: Cross multiply
   22,606x = 35,003 × 35,003
4. Step 4: Simplify right side
   22,606x = 1,225,210,009
5. Step 5: Solve for x
   x = 1,225,210,009/22,606
6. Step 6: Final answer
   x = 54,198.44