Finding the Third Proportional to 35,788.88 and 52,589.63

Step by Step Solution

1. Step 1: Write the proportion equation
   35,788.88 : 52,589.63 = 52,589.63 : x
2. Step 2: Convert to fraction form
   35,788.88/52,589.63 = 52,589.63/x
3. Step 3: Cross multiply
   35,788.88x = 52,589.63 × 52,589.63
4. Step 4: Simplify right side
   35,788.88x = 2,765,668,657.64
5. Step 5: Solve for x
   x = 2,765,668,657.64/35,788.88
6. Step 6: Final answer
   x = 77,277.33