Finding the Third Proportional to 43,580 and 65,208

Step by Step Solution

1. Step 1: Write the proportion equation
   43,580 : 65,208 = 65,208 : x
2. Step 2: Convert to fraction form
   43,580/65,208 = 65,208/x
3. Step 3: Cross multiply
   43,580x = 65,208 × 65,208
4. Step 4: Simplify right side
   43,580x = 4,252,083,264
5. Step 5: Solve for x
   x = 4,252,083,264/43,580
6. Step 6: Final answer
   x = 97,569.60