Finding the Third Proportional to 19,565 and 42,172

Step by Step Solution

1. Step 1: Write the proportion equation
   19,565 : 42,172 = 42,172 : x
2. Step 2: Convert to fraction form
   19,565/42,172 = 42,172/x
3. Step 3: Cross multiply
   19,565x = 42,172 × 42,172
4. Step 4: Simplify right side
   19,565x = 1,778,477,584
5. Step 5: Solve for x
   x = 1,778,477,584/19,565
6. Step 6: Final answer
   x = 90,900.98