Finding the Third Proportional to 35,788 and 53,924

Step by Step Solution

1. Step 1: Write the proportion equation
   35,788 : 53,924 = 53,924 : x
2. Step 2: Convert to fraction form
   35,788/53,924 = 53,924/x
3. Step 3: Cross multiply
   35,788x = 53,924 × 53,924
4. Step 4: Simplify right side
   35,788x = 2,907,797,776
5. Step 5: Solve for x
   x = 2,907,797,776/35,788
6. Step 6: Final answer
   x = 81,250.64