Finding the Third Proportional to 19,749 and 42,210

Step by Step Solution

1. Step 1: Write the proportion equation
   19,749 : 42,210 = 42,210 : x
2. Step 2: Convert to fraction form
   19,749/42,210 = 42,210/x
3. Step 3: Cross multiply
   19,749x = 42,210 × 42,210
4. Step 4: Simplify right side
   19,749x = 1,781,684,100
5. Step 5: Solve for x
   x = 1,781,684,100/19,749
6. Step 6: Final answer
   x = 90,216.42