Finding the Third Proportional to 42,701 and 64,189

Step by Step Solution

1. Step 1: Write the proportion equation
   42,701 : 64,189 = 64,189 : x
2. Step 2: Convert to fraction form
   42,701/64,189 = 64,189/x
3. Step 3: Cross multiply
   42,701x = 64,189 × 64,189
4. Step 4: Simplify right side
   42,701x = 4,120,227,721
5. Step 5: Solve for x
   x = 4,120,227,721/42,701
6. Step 6: Final answer
   x = 96,490.19