Finding the Third Proportional to 42,182 and 64,391

Step by Step Solution

1. Step 1: Write the proportion equation
   42,182 : 64,391 = 64,391 : x
2. Step 2: Convert to fraction form
   42,182/64,391 = 64,391/x
3. Step 3: Cross multiply
   42,182x = 64,391 × 64,391
4. Step 4: Simplify right side
   42,182x = 4,146,200,881
5. Step 5: Solve for x
   x = 4,146,200,881/42,182
6. Step 6: Final answer
   x = 98,293.13