Finding the Third Proportional to 23,829 and 37,791

Step by Step Solution

1. Step 1: Write the proportion equation
   23,829 : 37,791 = 37,791 : x
2. Step 2: Convert to fraction form
   23,829/37,791 = 37,791/x
3. Step 3: Cross multiply
   23,829x = 37,791 × 37,791
4. Step 4: Simplify right side
   23,829x = 1,428,159,681
5. Step 5: Solve for x
   x = 1,428,159,681/23,829
6. Step 6: Final answer
   x = 59,933.68