Finding the Third Proportional to 35,748 and 52,589.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,748 : 52,589.25 = 52,589.25 : x
2. Step 2: Convert to fraction form
   35,748/52,589.25 = 52,589.25/x
3. Step 3: Cross multiply
   35,748x = 52,589.25 × 52,589.25
4. Step 4: Simplify right side
   35,748x = 2,765,629,215.56
5. Step 5: Solve for x
   x = 2,765,629,215.56/35,748
6. Step 6: Final answer
   x = 77,364.59