Finding the Third Proportional to 19,580 and 42,319

Step by Step Solution

1. Step 1: Write the proportion equation
   19,580 : 42,319 = 42,319 : x
2. Step 2: Convert to fraction form
   19,580/42,319 = 42,319/x
3. Step 3: Cross multiply
   19,580x = 42,319 × 42,319
4. Step 4: Simplify right side
   19,580x = 1,790,897,761
5. Step 5: Solve for x
   x = 1,790,897,761/19,580
6. Step 6: Final answer
   x = 91,465.67