Finding the Third Proportional to 42,326 and 64,846

Step by Step Solution

1. Step 1: Write the proportion equation
   42,326 : 64,846 = 64,846 : x
2. Step 2: Convert to fraction form
   42,326/64,846 = 64,846/x
3. Step 3: Cross multiply
   42,326x = 64,846 × 64,846
4. Step 4: Simplify right side
   42,326x = 4,205,003,716
5. Step 5: Solve for x
   x = 4,205,003,716/42,326
6. Step 6: Final answer
   x = 99,348.01