Finding the Third Proportional to 19,749 and 42,209

Step by Step Solution

1. Step 1: Write the proportion equation
   19,749 : 42,209 = 42,209 : x
2. Step 2: Convert to fraction form
   19,749/42,209 = 42,209/x
3. Step 3: Cross multiply
   19,749x = 42,209 × 42,209
4. Step 4: Simplify right side
   19,749x = 1,781,599,681
5. Step 5: Solve for x
   x = 1,781,599,681/19,749
6. Step 6: Final answer
   x = 90,212.15