Finding the Third Proportional to 42,215 and 66,846

Step by Step Solution

1. Step 1: Write the proportion equation
   42,215 : 66,846 = 66,846 : x
2. Step 2: Convert to fraction form
   42,215/66,846 = 66,846/x
3. Step 3: Cross multiply
   42,215x = 66,846 × 66,846
4. Step 4: Simplify right side
   42,215x = 4,468,387,716
5. Step 5: Solve for x
   x = 4,468,387,716/42,215
6. Step 6: Final answer
   x = 105,848.34