Finding the Third Proportional to 47,971.50 and 71,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,971.50 : 71,962.50 = 71,962.50 : x
2. Step 2: Convert to fraction form
   47,971.50/71,962.50 = 71,962.50/x
3. Step 3: Cross multiply
   47,971.50x = 71,962.50 × 71,962.50
4. Step 4: Simplify right side
   47,971.50x = 5,178,601,406.25
5. Step 5: Solve for x
   x = 5,178,601,406.25/47,971.50
6. Step 6: Final answer
   x = 107,951.63