Finding the Third Proportional to 42,057 and 64,400

Step by Step Solution

1. Step 1: Write the proportion equation
   42,057 : 64,400 = 64,400 : x
2. Step 2: Convert to fraction form
   42,057/64,400 = 64,400/x
3. Step 3: Cross multiply
   42,057x = 64,400 × 64,400
4. Step 4: Simplify right side
   42,057x = 4,147,360,000
5. Step 5: Solve for x
   x = 4,147,360,000/42,057
6. Step 6: Final answer
   x = 98,612.83