Finding the Third Proportional to 39,697 and 61,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,697 : 61,411.50 = 61,411.50 : x
2. Step 2: Convert to fraction form
   39,697/61,411.50 = 61,411.50/x
3. Step 3: Cross multiply
   39,697x = 61,411.50 × 61,411.50
4. Step 4: Simplify right side
   39,697x = 3,771,372,332.25
5. Step 5: Solve for x
   x = 3,771,372,332.25/39,697
6. Step 6: Final answer
   x = 95,003.96