Finding the Third Proportional to 19,406 and 42,376

Step by Step Solution

1. Step 1: Write the proportion equation
   19,406 : 42,376 = 42,376 : x
2. Step 2: Convert to fraction form
   19,406/42,376 = 42,376/x
3. Step 3: Cross multiply
   19,406x = 42,376 × 42,376
4. Step 4: Simplify right side
   19,406x = 1,795,725,376
5. Step 5: Solve for x
   x = 1,795,725,376/19,406
6. Step 6: Final answer
   x = 92,534.54