Finding the Third Proportional to 23,109 and 37,205

Step by Step Solution

1. Step 1: Write the proportion equation
   23,109 : 37,205 = 37,205 : x
2. Step 2: Convert to fraction form
   23,109/37,205 = 37,205/x
3. Step 3: Cross multiply
   23,109x = 37,205 × 37,205
4. Step 4: Simplify right side
   23,109x = 1,384,212,025
5. Step 5: Solve for x
   x = 1,384,212,025/23,109
6. Step 6: Final answer
   x = 59,899.26