Finding the Third Proportional to 33,784.50 and 72,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,784.50 : 72,488.50 = 72,488.50 : x
2. Step 2: Convert to fraction form
   33,784.50/72,488.50 = 72,488.50/x
3. Step 3: Cross multiply
   33,784.50x = 72,488.50 × 72,488.50
4. Step 4: Simplify right side
   33,784.50x = 5,254,582,632.25
5. Step 5: Solve for x
   x = 5,254,582,632.25/33,784.50
6. Step 6: Final answer
   x = 155,532.35