Finding the Third Proportional to 41,780 and 64,664

Step by Step Solution

1. Step 1: Write the proportion equation
   41,780 : 64,664 = 64,664 : x
2. Step 2: Convert to fraction form
   41,780/64,664 = 64,664/x
3. Step 3: Cross multiply
   41,780x = 64,664 × 64,664
4. Step 4: Simplify right side
   41,780x = 4,181,432,896
5. Step 5: Solve for x
   x = 4,181,432,896/41,780
6. Step 6: Final answer
   x = 100,082.17