Finding the Third Proportional to 42,580 and 65,358

Step by Step Solution

1. Step 1: Write the proportion equation
   42,580 : 65,358 = 65,358 : x
2. Step 2: Convert to fraction form
   42,580/65,358 = 65,358/x
3. Step 3: Cross multiply
   42,580x = 65,358 × 65,358
4. Step 4: Simplify right side
   42,580x = 4,271,668,164
5. Step 5: Solve for x
   x = 4,271,668,164/42,580
6. Step 6: Final answer
   x = 100,321.00