Finding the Third Proportional to 42,380 and 62,846

Step by Step Solution

1. Step 1: Write the proportion equation
   42,380 : 62,846 = 62,846 : x
2. Step 2: Convert to fraction form
   42,380/62,846 = 62,846/x
3. Step 3: Cross multiply
   42,380x = 62,846 × 62,846
4. Step 4: Simplify right side
   42,380x = 3,949,619,716
5. Step 5: Solve for x
   x = 3,949,619,716/42,380
6. Step 6: Final answer
   x = 93,195.37