Finding the Third Proportional to 19,536 and 42,774

Step by Step Solution

1. Step 1: Write the proportion equation
   19,536 : 42,774 = 42,774 : x
2. Step 2: Convert to fraction form
   19,536/42,774 = 42,774/x
3. Step 3: Cross multiply
   19,536x = 42,774 × 42,774
4. Step 4: Simplify right side
   19,536x = 1,829,615,076
5. Step 5: Solve for x
   x = 1,829,615,076/19,536
6. Step 6: Final answer
   x = 93,653.52