Finding the Third Proportional to 41,947 and 64,013

Step by Step Solution

1. Step 1: Write the proportion equation
   41,947 : 64,013 = 64,013 : x
2. Step 2: Convert to fraction form
   41,947/64,013 = 64,013/x
3. Step 3: Cross multiply
   41,947x = 64,013 × 64,013
4. Step 4: Simplify right side
   41,947x = 4,097,664,169
5. Step 5: Solve for x
   x = 4,097,664,169/41,947
6. Step 6: Final answer
   x = 97,686.70