Finding the Third Proportional to 41,709 and 61,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,709 : 61,457.50 = 61,457.50 : x
2. Step 2: Convert to fraction form
   41,709/61,457.50 = 61,457.50/x
3. Step 3: Cross multiply
   41,709x = 61,457.50 × 61,457.50
4. Step 4: Simplify right side
   41,709x = 3,777,024,306.25
5. Step 5: Solve for x
   x = 3,777,024,306.25/41,709
6. Step 6: Final answer
   x = 90,556.58