Finding the Third Proportional to 30,370 and 65,732

Step by Step Solution

1. Step 1: Write the proportion equation
   30,370 : 65,732 = 65,732 : x
2. Step 2: Convert to fraction form
   30,370/65,732 = 65,732/x
3. Step 3: Cross multiply
   30,370x = 65,732 × 65,732
4. Step 4: Simplify right side
   30,370x = 4,320,695,824
5. Step 5: Solve for x
   x = 4,320,695,824/30,370
6. Step 6: Final answer
   x = 142,268.55