Finding the Third Proportional to 41,782.50 and 87,009.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,782.50 : 87,009.75 = 87,009.75 : x
2. Step 2: Convert to fraction form
   41,782.50/87,009.75 = 87,009.75/x
3. Step 3: Cross multiply
   41,782.50x = 87,009.75 × 87,009.75
4. Step 4: Simplify right side
   41,782.50x = 7,570,696,595.06
5. Step 5: Solve for x
   x = 7,570,696,595.06/41,782.50
6. Step 6: Final answer
   x = 181,193.00