Finding the Third Proportional to 37,168 and 52,984

Step by Step Solution

1. Step 1: Write the proportion equation
   37,168 : 52,984 = 52,984 : x
2. Step 2: Convert to fraction form
   37,168/52,984 = 52,984/x
3. Step 3: Cross multiply
   37,168x = 52,984 × 52,984
4. Step 4: Simplify right side
   37,168x = 2,807,304,256
5. Step 5: Solve for x
   x = 2,807,304,256/37,168
6. Step 6: Final answer
   x = 75,530.14