Finding the Third Proportional to 48,164 and 65,614

Step by Step Solution

1. Step 1: Write the proportion equation
   48,164 : 65,614 = 65,614 : x
2. Step 2: Convert to fraction form
   48,164/65,614 = 65,614/x
3. Step 3: Cross multiply
   48,164x = 65,614 × 65,614
4. Step 4: Simplify right side
   48,164x = 4,305,196,996
5. Step 5: Solve for x
   x = 4,305,196,996/48,164
6. Step 6: Final answer
   x = 89,386.20