Finding the Third Proportional to 19,748 and 42,208

Step by Step Solution

1. Step 1: Write the proportion equation
   19,748 : 42,208 = 42,208 : x
2. Step 2: Convert to fraction form
   19,748/42,208 = 42,208/x
3. Step 3: Cross multiply
   19,748x = 42,208 × 42,208
4. Step 4: Simplify right side
   19,748x = 1,781,515,264
5. Step 5: Solve for x
   x = 1,781,515,264/19,748
6. Step 6: Final answer
   x = 90,212.44