Finding the Third Proportional to 42,798 and 64,204

Step by Step Solution

1. Step 1: Write the proportion equation
   42,798 : 64,204 = 64,204 : x
2. Step 2: Convert to fraction form
   42,798/64,204 = 64,204/x
3. Step 3: Cross multiply
   42,798x = 64,204 × 64,204
4. Step 4: Simplify right side
   42,798x = 4,122,153,616
5. Step 5: Solve for x
   x = 4,122,153,616/42,798
6. Step 6: Final answer
   x = 96,316.50