Finding the Third Proportional to 23,377 and 37,604

Step by Step Solution

1. Step 1: Write the proportion equation
   23,377 : 37,604 = 37,604 : x
2. Step 2: Convert to fraction form
   23,377/37,604 = 37,604/x
3. Step 3: Cross multiply
   23,377x = 37,604 × 37,604
4. Step 4: Simplify right side
   23,377x = 1,414,060,816
5. Step 5: Solve for x
   x = 1,414,060,816/23,377
6. Step 6: Final answer
   x = 60,489.40