Finding the Third Proportional to 34,036 and 74,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,036 : 74,791.50 = 74,791.50 : x
2. Step 2: Convert to fraction form
   34,036/74,791.50 = 74,791.50/x
3. Step 3: Cross multiply
   34,036x = 74,791.50 × 74,791.50
4. Step 4: Simplify right side
   34,036x = 5,593,768,472.25
5. Step 5: Solve for x
   x = 5,593,768,472.25/34,036
6. Step 6: Final answer
   x = 164,348.59