Finding the Third Proportional to 47,768 and 73,658

Step by Step Solution

1. Step 1: Write the proportion equation
   47,768 : 73,658 = 73,658 : x
2. Step 2: Convert to fraction form
   47,768/73,658 = 73,658/x
3. Step 3: Cross multiply
   47,768x = 73,658 × 73,658
4. Step 4: Simplify right side
   47,768x = 5,425,500,964
5. Step 5: Solve for x
   x = 5,425,500,964/47,768
6. Step 6: Final answer
   x = 113,580.24