Finding the Third Proportional to 41,043 and 83,854.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,043 : 83,854.50 = 83,854.50 : x
2. Step 2: Convert to fraction form
   41,043/83,854.50 = 83,854.50/x
3. Step 3: Cross multiply
   41,043x = 83,854.50 × 83,854.50
4. Step 4: Simplify right side
   41,043x = 7,031,577,170.25
5. Step 5: Solve for x
   x = 7,031,577,170.25/41,043
6. Step 6: Final answer
   x = 171,322.20