Finding the Third Proportional to 35,996 and 84,076

Step by Step Solution

1. Step 1: Write the proportion equation
   35,996 : 84,076 = 84,076 : x
2. Step 2: Convert to fraction form
   35,996/84,076 = 84,076/x
3. Step 3: Cross multiply
   35,996x = 84,076 × 84,076
4. Step 4: Simplify right side
   35,996x = 7,068,773,776
5. Step 5: Solve for x
   x = 7,068,773,776/35,996
6. Step 6: Final answer
   x = 196,376.65