Finding the Third Proportional to 46,948 and 73,780

Step by Step Solution

1. Step 1: Write the proportion equation
   46,948 : 73,780 = 73,780 : x
2. Step 2: Convert to fraction form
   46,948/73,780 = 73,780/x
3. Step 3: Cross multiply
   46,948x = 73,780 × 73,780
4. Step 4: Simplify right side
   46,948x = 5,443,488,400
5. Step 5: Solve for x
   x = 5,443,488,400/46,948
6. Step 6: Final answer
   x = 115,947.18