Finding the Third Proportional to 23,818 and 35,970

Step by Step Solution

1. Step 1: Write the proportion equation
   23,818 : 35,970 = 35,970 : x
2. Step 2: Convert to fraction form
   23,818/35,970 = 35,970/x
3. Step 3: Cross multiply
   23,818x = 35,970 × 35,970
4. Step 4: Simplify right side
   23,818x = 1,293,840,900
5. Step 5: Solve for x
   x = 1,293,840,900/23,818
6. Step 6: Final answer
   x = 54,321.98