Finding the Third Proportional to 35,506 and 76,884

Step by Step Solution

1. Step 1: Write the proportion equation
   35,506 : 76,884 = 76,884 : x
2. Step 2: Convert to fraction form
   35,506/76,884 = 76,884/x
3. Step 3: Cross multiply
   35,506x = 76,884 × 76,884
4. Step 4: Simplify right side
   35,506x = 5,911,149,456
5. Step 5: Solve for x
   x = 5,911,149,456/35,506
6. Step 6: Final answer
   x = 166,483.11