Finding the Third Proportional to 35,682.38 and 76,845.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,682.38 : 76,845.75 = 76,845.75 : x
2. Step 2: Convert to fraction form
   35,682.38/76,845.75 = 76,845.75/x
3. Step 3: Cross multiply
   35,682.38x = 76,845.75 × 76,845.75
4. Step 4: Simplify right side
   35,682.38x = 5,905,269,293.06
5. Step 5: Solve for x
   x = 5,905,269,293.06/35,682.38
6. Step 6: Final answer
   x = 165,495.41