Finding the Third Proportional to 30,543 and 64,947

Step by Step Solution

1. Step 1: Write the proportion equation
   30,543 : 64,947 = 64,947 : x
2. Step 2: Convert to fraction form
   30,543/64,947 = 64,947/x
3. Step 3: Cross multiply
   30,543x = 64,947 × 64,947
4. Step 4: Simplify right side
   30,543x = 4,218,112,809
5. Step 5: Solve for x
   x = 4,218,112,809/30,543
6. Step 6: Final answer
   x = 138,104.08