Finding the Third Proportional to 30,757 and 42,376

Step by Step Solution

1. Step 1: Write the proportion equation
   30,757 : 42,376 = 42,376 : x
2. Step 2: Convert to fraction form
   30,757/42,376 = 42,376/x
3. Step 3: Cross multiply
   30,757x = 42,376 × 42,376
4. Step 4: Simplify right side
   30,757x = 1,795,725,376
5. Step 5: Solve for x
   x = 1,795,725,376/30,757
6. Step 6: Final answer
   x = 58,384.28