Finding the Third Proportional to 41,969 and 58,673.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,969 : 58,673.50 = 58,673.50 : x
2. Step 2: Convert to fraction form
   41,969/58,673.50 = 58,673.50/x
3. Step 3: Cross multiply
   41,969x = 58,673.50 × 58,673.50
4. Step 4: Simplify right side
   41,969x = 3,442,579,602.25
5. Step 5: Solve for x
   x = 3,442,579,602.25/41,969
6. Step 6: Final answer
   x = 82,026.72