Finding the Third Proportional to 47,114 and 71,961

Step by Step Solution

1. Step 1: Write the proportion equation
   47,114 : 71,961 = 71,961 : x
2. Step 2: Convert to fraction form
   47,114/71,961 = 71,961/x
3. Step 3: Cross multiply
   47,114x = 71,961 × 71,961
4. Step 4: Simplify right side
   47,114x = 5,178,385,521
5. Step 5: Solve for x
   x = 5,178,385,521/47,114
6. Step 6: Final answer
   x = 109,911.82