Finding the Third Proportional to 46,971 and 72,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,971 : 72,643.50 = 72,643.50 : x
2. Step 2: Convert to fraction form
   46,971/72,643.50 = 72,643.50/x
3. Step 3: Cross multiply
   46,971x = 72,643.50 × 72,643.50
4. Step 4: Simplify right side
   46,971x = 5,277,078,092.25
5. Step 5: Solve for x
   x = 5,277,078,092.25/46,971
6. Step 6: Final answer
   x = 112,347.58