Finding the Third Proportional to 34,033.50 and 72,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,033.50 : 72,184.50 = 72,184.50 : x
2. Step 2: Convert to fraction form
   34,033.50/72,184.50 = 72,184.50/x
3. Step 3: Cross multiply
   34,033.50x = 72,184.50 × 72,184.50
4. Step 4: Simplify right side
   34,033.50x = 5,210,602,040.25
5. Step 5: Solve for x
   x = 5,210,602,040.25/34,033.50
6. Step 6: Final answer
   x = 153,102.15