Finding the Third Proportional to 37,036 and 52,924

Step by Step Solution

1. Step 1: Write the proportion equation
   37,036 : 52,924 = 52,924 : x
2. Step 2: Convert to fraction form
   37,036/52,924 = 52,924/x
3. Step 3: Cross multiply
   37,036x = 52,924 × 52,924
4. Step 4: Simplify right side
   37,036x = 2,800,949,776
5. Step 5: Solve for x
   x = 2,800,949,776/37,036
6. Step 6: Final answer
   x = 75,627.76