Finding the Third Proportional to 41,006.25 and 56,497.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,006.25 : 56,497.50 = 56,497.50 : x
2. Step 2: Convert to fraction form
   41,006.25/56,497.50 = 56,497.50/x
3. Step 3: Cross multiply
   41,006.25x = 56,497.50 × 56,497.50
4. Step 4: Simplify right side
   41,006.25x = 3,191,967,506.25
5. Step 5: Solve for x
   x = 3,191,967,506.25/41,006.25
6. Step 6: Final answer
   x = 77,841