Finding the Third Proportional to 47,097 and 65,871

Step by Step Solution

1. Step 1: Write the proportion equation
   47,097 : 65,871 = 65,871 : x
2. Step 2: Convert to fraction form
   47,097/65,871 = 65,871/x
3. Step 3: Cross multiply
   47,097x = 65,871 × 65,871
4. Step 4: Simplify right side
   47,097x = 4,338,988,641
5. Step 5: Solve for x
   x = 4,338,988,641/47,097
6. Step 6: Final answer
   x = 92,128.77