Finding the Third Proportional to 33,076 and 72,361.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,076 : 72,361.50 = 72,361.50 : x
2. Step 2: Convert to fraction form
   33,076/72,361.50 = 72,361.50/x
3. Step 3: Cross multiply
   33,076x = 72,361.50 × 72,361.50
4. Step 4: Simplify right side
   33,076x = 5,236,186,682.25
5. Step 5: Solve for x
   x = 5,236,186,682.25/33,076
6. Step 6: Final answer
   x = 158,307.74