Finding the Third Proportional to 41,844 and 64,102

Step by Step Solution

1. Step 1: Write the proportion equation
   41,844 : 64,102 = 64,102 : x
2. Step 2: Convert to fraction form
   41,844/64,102 = 64,102/x
3. Step 3: Cross multiply
   41,844x = 64,102 × 64,102
4. Step 4: Simplify right side
   41,844x = 4,109,066,404
5. Step 5: Solve for x
   x = 4,109,066,404/41,844
6. Step 6: Final answer
   x = 98,199.66