Finding the Third Proportional to 41,730.75 and 86,213.25

Step by Step Solution

1. Step 1: Write the proportion equation
   41,730.75 : 86,213.25 = 86,213.25 : x
2. Step 2: Convert to fraction form
   41,730.75/86,213.25 = 86,213.25/x
3. Step 3: Cross multiply
   41,730.75x = 86,213.25 × 86,213.25
4. Step 4: Simplify right side
   41,730.75x = 7,432,724,475.56
5. Step 5: Solve for x
   x = 7,432,724,475.56/41,730.75
6. Step 6: Final answer
   x = 178,111.45