Finding the Third Proportional to 23,454 and 37,137

Step by Step Solution

1. Step 1: Write the proportion equation
   23,454 : 37,137 = 37,137 : x
2. Step 2: Convert to fraction form
   23,454/37,137 = 37,137/x
3. Step 3: Cross multiply
   23,454x = 37,137 × 37,137
4. Step 4: Simplify right side
   23,454x = 1,379,156,769
5. Step 5: Solve for x
   x = 1,379,156,769/23,454
6. Step 6: Final answer
   x = 58,802.63