Finding the Third Proportional to 42,274 and 65,001

Step by Step Solution

1. Step 1: Write the proportion equation
   42,274 : 65,001 = 65,001 : x
2. Step 2: Convert to fraction form
   42,274/65,001 = 65,001/x
3. Step 3: Cross multiply
   42,274x = 65,001 × 65,001
4. Step 4: Simplify right side
   42,274x = 4,225,130,001
5. Step 5: Solve for x
   x = 4,225,130,001/42,274
6. Step 6: Final answer
   x = 99,946.30