Finding the Third Proportional to 35,742.50 and 76,393

Step by Step Solution

1. Step 1: Write the proportion equation
   35,742.50 : 76,393 = 76,393 : x
2. Step 2: Convert to fraction form
   35,742.50/76,393 = 76,393/x
3. Step 3: Cross multiply
   35,742.50x = 76,393 × 76,393
4. Step 4: Simplify right side
   35,742.50x = 5,835,890,449
5. Step 5: Solve for x
   x = 5,835,890,449/35,742.50
6. Step 6: Final answer
   x = 163,275.94