Finding the Third Proportional to 41,138 and 87,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,138 : 87,465.50 = 87,465.50 : x
2. Step 2: Convert to fraction form
   41,138/87,465.50 = 87,465.50/x
3. Step 3: Cross multiply
   41,138x = 87,465.50 × 87,465.50
4. Step 4: Simplify right side
   41,138x = 7,650,213,690.25
5. Step 5: Solve for x
   x = 7,650,213,690.25/41,138
6. Step 6: Final answer
   x = 185,964.65