Finding the Third Proportional to 42,614 and 65,178

Step by Step Solution

1. Step 1: Write the proportion equation
   42,614 : 65,178 = 65,178 : x
2. Step 2: Convert to fraction form
   42,614/65,178 = 65,178/x
3. Step 3: Cross multiply
   42,614x = 65,178 × 65,178
4. Step 4: Simplify right side
   42,614x = 4,248,171,684
5. Step 5: Solve for x
   x = 4,248,171,684/42,614
6. Step 6: Final answer
   x = 99,689.58