Finding the Third Proportional to 23,759 and 37,619

Step by Step Solution

1. Step 1: Write the proportion equation
   23,759 : 37,619 = 37,619 : x
2. Step 2: Convert to fraction form
   23,759/37,619 = 37,619/x
3. Step 3: Cross multiply
   23,759x = 37,619 × 37,619
4. Step 4: Simplify right side
   23,759x = 1,415,189,161
5. Step 5: Solve for x
   x = 1,415,189,161/23,759
6. Step 6: Final answer
   x = 59,564.34