Finding the Third Proportional to 41,413 and 58,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,413 : 58,543.50 = 58,543.50 : x
2. Step 2: Convert to fraction form
   41,413/58,543.50 = 58,543.50/x
3. Step 3: Cross multiply
   41,413x = 58,543.50 × 58,543.50
4. Step 4: Simplify right side
   41,413x = 3,427,341,392.25
5. Step 5: Solve for x
   x = 3,427,341,392.25/41,413
6. Step 6: Final answer
   x = 82,760.04