Finding the Third Proportional to 19,580 and 42,352

Step by Step Solution

1. Step 1: Write the proportion equation
   19,580 : 42,352 = 42,352 : x
2. Step 2: Convert to fraction form
   19,580/42,352 = 42,352/x
3. Step 3: Cross multiply
   19,580x = 42,352 × 42,352
4. Step 4: Simplify right side
   19,580x = 1,793,691,904
5. Step 5: Solve for x
   x = 1,793,691,904/19,580
6. Step 6: Final answer
   x = 91,608.37