Finding the Third Proportional to 46,577 and 73,783

Step by Step Solution

1. Step 1: Write the proportion equation
   46,577 : 73,783 = 73,783 : x
2. Step 2: Convert to fraction form
   46,577/73,783 = 73,783/x
3. Step 3: Cross multiply
   46,577x = 73,783 × 73,783
4. Step 4: Simplify right side
   46,577x = 5,443,931,089
5. Step 5: Solve for x
   x = 5,443,931,089/46,577
6. Step 6: Final answer
   x = 116,880.24