Finding the Third Proportional to 48,420 and 65,754

Step by Step Solution

1. Step 1: Write the proportion equation
   48,420 : 65,754 = 65,754 : x
2. Step 2: Convert to fraction form
   48,420/65,754 = 65,754/x
3. Step 3: Cross multiply
   48,420x = 65,754 × 65,754
4. Step 4: Simplify right side
   48,420x = 4,323,588,516
5. Step 5: Solve for x
   x = 4,323,588,516/48,420
6. Step 6: Final answer
   x = 89,293.44