Finding the Third Proportional to 42,664 and 64,004

Step by Step Solution

1. Step 1: Write the proportion equation
   42,664 : 64,004 = 64,004 : x
2. Step 2: Convert to fraction form
   42,664/64,004 = 64,004/x
3. Step 3: Cross multiply
   42,664x = 64,004 × 64,004
4. Step 4: Simplify right side
   42,664x = 4,096,512,016
5. Step 5: Solve for x
   x = 4,096,512,016/42,664
6. Step 6: Final answer
   x = 96,018.00