Finding the Third Proportional to 38,430 and 57,644

Step by Step Solution

1. Step 1: Write the proportion equation
   38,430 : 57,644 = 57,644 : x
2. Step 2: Convert to fraction form
   38,430/57,644 = 57,644/x
3. Step 3: Cross multiply
   38,430x = 57,644 × 57,644
4. Step 4: Simplify right side
   38,430x = 3,322,830,736
5. Step 5: Solve for x
   x = 3,322,830,736/38,430
6. Step 6: Final answer
   x = 86,464.50