Finding the Third Proportional to 42,174 and 65,817

Step by Step Solution

1. Step 1: Write the proportion equation
   42,174 : 65,817 = 65,817 : x
2. Step 2: Convert to fraction form
   42,174/65,817 = 65,817/x
3. Step 3: Cross multiply
   42,174x = 65,817 × 65,817
4. Step 4: Simplify right side
   42,174x = 4,331,877,489
5. Step 5: Solve for x
   x = 4,331,877,489/42,174
6. Step 6: Final answer
   x = 102,714.41