Finding the Third Proportional to 42,178 and 63,543

Step by Step Solution

1. Step 1: Write the proportion equation
   42,178 : 63,543 = 63,543 : x
2. Step 2: Convert to fraction form
   42,178/63,543 = 63,543/x
3. Step 3: Cross multiply
   42,178x = 63,543 × 63,543
4. Step 4: Simplify right side
   42,178x = 4,037,712,849
5. Step 5: Solve for x
   x = 4,037,712,849/42,178
6. Step 6: Final answer
   x = 95,730.31