Finding the Third Proportional to 19,924 and 42,212

Step by Step Solution

1. Step 1: Write the proportion equation
   19,924 : 42,212 = 42,212 : x
2. Step 2: Convert to fraction form
   19,924/42,212 = 42,212/x
3. Step 3: Cross multiply
   19,924x = 42,212 × 42,212
4. Step 4: Simplify right side
   19,924x = 1,781,852,944
5. Step 5: Solve for x
   x = 1,781,852,944/19,924
6. Step 6: Final answer
   x = 89,432.49