Finding the Third Proportional to 41,721 and 86,893.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,721 : 86,893.50 = 86,893.50 : x
2. Step 2: Convert to fraction form
   41,721/86,893.50 = 86,893.50/x
3. Step 3: Cross multiply
   41,721x = 86,893.50 × 86,893.50
4. Step 4: Simplify right side
   41,721x = 7,550,480,342.25
5. Step 5: Solve for x
   x = 7,550,480,342.25/41,721
6. Step 6: Final answer
   x = 180,975.54