Finding the Third Proportional to 65,430 and 103,772

Step by Step Solution

1. Step 1: Write the proportion equation
   65,430 : 103,772 = 103,772 : x
2. Step 2: Convert to fraction form
   65,430/103,772 = 103,772/x
3. Step 3: Cross multiply
   65,430x = 103,772 × 103,772
4. Step 4: Simplify right side
   65,430x = 10,768,627,984
5. Step 5: Solve for x
   x = 10,768,627,984/65,430
6. Step 6: Final answer
   x = 164,582.42