Finding the Third Proportional to 48,128 and 65,566

Step by Step Solution

1. Step 1: Write the proportion equation
   48,128 : 65,566 = 65,566 : x
2. Step 2: Convert to fraction form
   48,128/65,566 = 65,566/x
3. Step 3: Cross multiply
   48,128x = 65,566 × 65,566
4. Step 4: Simplify right side
   48,128x = 4,298,900,356
5. Step 5: Solve for x
   x = 4,298,900,356/48,128
6. Step 6: Final answer
   x = 89,322.23