Finding the Third Proportional to 41,077 and 58,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,077 : 58,697.50 = 58,697.50 : x
2. Step 2: Convert to fraction form
   41,077/58,697.50 = 58,697.50/x
3. Step 3: Cross multiply
   41,077x = 58,697.50 × 58,697.50
4. Step 4: Simplify right side
   41,077x = 3,445,396,506.25
5. Step 5: Solve for x
   x = 3,445,396,506.25/41,077
6. Step 6: Final answer
   x = 83,876.54