Finding the Third Proportional to 47,085 and 67,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,085 : 67,114.50 = 67,114.50 : x
2. Step 2: Convert to fraction form
   47,085/67,114.50 = 67,114.50/x
3. Step 3: Cross multiply
   47,085x = 67,114.50 × 67,114.50
4. Step 4: Simplify right side
   47,085x = 4,504,356,110.25
5. Step 5: Solve for x
   x = 4,504,356,110.25/47,085
6. Step 6: Final answer
   x = 95,664.35