Finding the Third Proportional to 23,106 and 37,209

Step by Step Solution

1. Step 1: Write the proportion equation
   23,106 : 37,209 = 37,209 : x
2. Step 2: Convert to fraction form
   23,106/37,209 = 37,209/x
3. Step 3: Cross multiply
   23,106x = 37,209 × 37,209
4. Step 4: Simplify right side
   23,106x = 1,384,509,681
5. Step 5: Solve for x
   x = 1,384,509,681/23,106
6. Step 6: Final answer
   x = 59,919.92