Finding the Third Proportional to 38,802 and 65,433

Step by Step Solution

1. Step 1: Write the proportion equation
   38,802 : 65,433 = 65,433 : x
2. Step 2: Convert to fraction form
   38,802/65,433 = 65,433/x
3. Step 3: Cross multiply
   38,802x = 65,433 × 65,433
4. Step 4: Simplify right side
   38,802x = 4,281,477,489
5. Step 5: Solve for x
   x = 4,281,477,489/38,802
6. Step 6: Final answer
   x = 110,341.67