Finding the Third Proportional to 41,784 and 64,000

Step by Step Solution

1. Step 1: Write the proportion equation
   41,784 : 64,000 = 64,000 : x
2. Step 2: Convert to fraction form
   41,784/64,000 = 64,000/x
3. Step 3: Cross multiply
   41,784x = 64,000 × 64,000
4. Step 4: Simplify right side
   41,784x = 4,096,000,000
5. Step 5: Solve for x
   x = 4,096,000,000/41,784
6. Step 6: Final answer
   x = 98,027.95