Finding the Third Proportional to 41,852 and 64,114

Step by Step Solution

1. Step 1: Write the proportion equation
   41,852 : 64,114 = 64,114 : x
2. Step 2: Convert to fraction form
   41,852/64,114 = 64,114/x
3. Step 3: Cross multiply
   41,852x = 64,114 × 64,114
4. Step 4: Simplify right side
   41,852x = 4,110,604,996
5. Step 5: Solve for x
   x = 4,110,604,996/41,852
6. Step 6: Final answer
   x = 98,217.65