Finding the Third Proportional to 35,410 and 77,354

Step by Step Solution

1. Step 1: Write the proportion equation
   35,410 : 77,354 = 77,354 : x
2. Step 2: Convert to fraction form
   35,410/77,354 = 77,354/x
3. Step 3: Cross multiply
   35,410x = 77,354 × 77,354
4. Step 4: Simplify right side
   35,410x = 5,983,641,316
5. Step 5: Solve for x
   x = 5,983,641,316/35,410
6. Step 6: Final answer
   x = 168,981.68