Finding the Third Proportional to 41,782.50 and 87,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,782.50 : 87,664.50 = 87,664.50 : x
2. Step 2: Convert to fraction form
   41,782.50/87,664.50 = 87,664.50/x
3. Step 3: Cross multiply
   41,782.50x = 87,664.50 × 87,664.50
4. Step 4: Simplify right side
   41,782.50x = 7,685,064,560.25
5. Step 5: Solve for x
   x = 7,685,064,560.25/41,782.50
6. Step 6: Final answer
   x = 183,930.22