Finding the Third Proportional to 46,640 and 73,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,640 : 73,971.50 = 73,971.50 : x
2. Step 2: Convert to fraction form
   46,640/73,971.50 = 73,971.50/x
3. Step 3: Cross multiply
   46,640x = 73,971.50 × 73,971.50
4. Step 4: Simplify right side
   46,640x = 5,471,782,812.25
5. Step 5: Solve for x
   x = 5,471,782,812.25/46,640
6. Step 6: Final answer
   x = 117,319.53