Finding the Third Proportional to 19,588 and 42,368

Step by Step Solution

1. Step 1: Write the proportion equation
   19,588 : 42,368 = 42,368 : x
2. Step 2: Convert to fraction form
   19,588/42,368 = 42,368/x
3. Step 3: Cross multiply
   19,588x = 42,368 × 42,368
4. Step 4: Simplify right side
   19,588x = 1,795,047,424
5. Step 5: Solve for x
   x = 1,795,047,424/19,588
6. Step 6: Final answer
   x = 91,640.16