Finding the Third Proportional to 42,115 and 63,854

Step by Step Solution

1. Step 1: Write the proportion equation
   42,115 : 63,854 = 63,854 : x
2. Step 2: Convert to fraction form
   42,115/63,854 = 63,854/x
3. Step 3: Cross multiply
   42,115x = 63,854 × 63,854
4. Step 4: Simplify right side
   42,115x = 4,077,333,316
5. Step 5: Solve for x
   x = 4,077,333,316/42,115
6. Step 6: Final answer
   x = 96,814.28