Finding the Third Proportional to 40,767 and 58,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,767 : 58,162.50 = 58,162.50 : x
2. Step 2: Convert to fraction form
   40,767/58,162.50 = 58,162.50/x
3. Step 3: Cross multiply
   40,767x = 58,162.50 × 58,162.50
4. Step 4: Simplify right side
   40,767x = 3,382,876,406.25
5. Step 5: Solve for x
   x = 3,382,876,406.25/40,767
6. Step 6: Final answer
   x = 82,980.75