Finding the Third Proportional to 20,150 and 37,762

Step by Step Solution

1. Step 1: Write the proportion equation
   20,150 : 37,762 = 37,762 : x
2. Step 2: Convert to fraction form
   20,150/37,762 = 37,762/x
3. Step 3: Cross multiply
   20,150x = 37,762 × 37,762
4. Step 4: Simplify right side
   20,150x = 1,425,968,644
5. Step 5: Solve for x
   x = 1,425,968,644/20,150
6. Step 6: Final answer
   x = 70,767.67