Finding the Third Proportional to 23,822 and 37,755

Step by Step Solution

1. Step 1: Write the proportion equation
   23,822 : 37,755 = 37,755 : x
2. Step 2: Convert to fraction form
   23,822/37,755 = 37,755/x
3. Step 3: Cross multiply
   23,822x = 37,755 × 37,755
4. Step 4: Simplify right side
   23,822x = 1,425,440,025
5. Step 5: Solve for x
   x = 1,425,440,025/23,822
6. Step 6: Final answer
   x = 59,837.13