Finding the Third Proportional to 40,415.50 and 87,826

Step by Step Solution

1. Step 1: Write the proportion equation
   40,415.50 : 87,826 = 87,826 : x
2. Step 2: Convert to fraction form
   40,415.50/87,826 = 87,826/x
3. Step 3: Cross multiply
   40,415.50x = 87,826 × 87,826
4. Step 4: Simplify right side
   40,415.50x = 7,713,406,276
5. Step 5: Solve for x
   x = 7,713,406,276/40,415.50
6. Step 6: Final answer
   x = 190,852.67