Finding the Third Proportional to 23,878 and 37,650

Step by Step Solution

1. Step 1: Write the proportion equation
   23,878 : 37,650 = 37,650 : x
2. Step 2: Convert to fraction form
   23,878/37,650 = 37,650/x
3. Step 3: Cross multiply
   23,878x = 37,650 × 37,650
4. Step 4: Simplify right side
   23,878x = 1,417,522,500
5. Step 5: Solve for x
   x = 1,417,522,500/23,878
6. Step 6: Final answer
   x = 59,365.21