Finding the Third Proportional to 17,833 and 37,970

Step by Step Solution

1. Step 1: Write the proportion equation
   17,833 : 37,970 = 37,970 : x
2. Step 2: Convert to fraction form
   17,833/37,970 = 37,970/x
3. Step 3: Cross multiply
   17,833x = 37,970 × 37,970
4. Step 4: Simplify right side
   17,833x = 1,441,720,900
5. Step 5: Solve for x
   x = 1,441,720,900/17,833
6. Step 6: Final answer
   x = 80,845.67