Finding the Third Proportional to 16,174 and 35,354

Step by Step Solution

1. Step 1: Write the proportion equation
   16,174 : 35,354 = 35,354 : x
2. Step 2: Convert to fraction form
   16,174/35,354 = 35,354/x
3. Step 3: Cross multiply
   16,174x = 35,354 × 35,354
4. Step 4: Simplify right side
   16,174x = 1,249,905,316
5. Step 5: Solve for x
   x = 1,249,905,316/16,174
6. Step 6: Final answer
   x = 77,278.68