Finding the Third Proportional to 35,619.75 and 76,889.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,619.75 : 76,889.25 = 76,889.25 : x
2. Step 2: Convert to fraction form
   35,619.75/76,889.25 = 76,889.25/x
3. Step 3: Cross multiply
   35,619.75x = 76,889.25 × 76,889.25
4. Step 4: Simplify right side
   35,619.75x = 5,911,956,765.56
5. Step 5: Solve for x
   x = 5,911,956,765.56/35,619.75
6. Step 6: Final answer
   x = 165,974.12