Finding the Third Proportional to 23,972 and 37,523

Step by Step Solution

1. Step 1: Write the proportion equation
   23,972 : 37,523 = 37,523 : x
2. Step 2: Convert to fraction form
   23,972/37,523 = 37,523/x
3. Step 3: Cross multiply
   23,972x = 37,523 × 37,523
4. Step 4: Simplify right side
   23,972x = 1,407,975,529
5. Step 5: Solve for x
   x = 1,407,975,529/23,972
6. Step 6: Final answer
   x = 58,734.17