Finding the Third Proportional to 23,834 and 37,798

Step by Step Solution

1. Step 1: Write the proportion equation
   23,834 : 37,798 = 37,798 : x
2. Step 2: Convert to fraction form
   23,834/37,798 = 37,798/x
3. Step 3: Cross multiply
   23,834x = 37,798 × 37,798
4. Step 4: Simplify right side
   23,834x = 1,428,688,804
5. Step 5: Solve for x
   x = 1,428,688,804/23,834
6. Step 6: Final answer
   x = 59,943.31