Finding the Third Proportional to 43,665 and 65,430

Step by Step Solution

1. Step 1: Write the proportion equation
   43,665 : 65,430 = 65,430 : x
2. Step 2: Convert to fraction form
   43,665/65,430 = 65,430/x
3. Step 3: Cross multiply
   43,665x = 65,430 × 65,430
4. Step 4: Simplify right side
   43,665x = 4,281,084,900
5. Step 5: Solve for x
   x = 4,281,084,900/43,665
6. Step 6: Final answer
   x = 98,043.85