Finding the Third Proportional to 40,756 and 85,938

Step by Step Solution

1. Step 1: Write the proportion equation
   40,756 : 85,938 = 85,938 : x
2. Step 2: Convert to fraction form
   40,756/85,938 = 85,938/x
3. Step 3: Cross multiply
   40,756x = 85,938 × 85,938
4. Step 4: Simplify right side
   40,756x = 7,385,339,844
5. Step 5: Solve for x
   x = 7,385,339,844/40,756
6. Step 6: Final answer
   x = 181,208.65