Finding the Third Proportional to 46,741 and 73,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,741 : 73,513.50 = 73,513.50 : x
2. Step 2: Convert to fraction form
   46,741/73,513.50 = 73,513.50/x
3. Step 3: Cross multiply
   46,741x = 73,513.50 × 73,513.50
4. Step 4: Simplify right side
   46,741x = 5,404,234,682.25
5. Step 5: Solve for x
   x = 5,404,234,682.25/46,741
6. Step 6: Final answer
   x = 115,620.86