Finding the Third Proportional to 33,619 and 49,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,619 : 49,164.50 = 49,164.50 : x
2. Step 2: Convert to fraction form
   33,619/49,164.50 = 49,164.50/x
3. Step 3: Cross multiply
   33,619x = 49,164.50 × 49,164.50
4. Step 4: Simplify right side
   33,619x = 2,417,148,060.25
5. Step 5: Solve for x
   x = 2,417,148,060.25/33,619
6. Step 6: Final answer
   x = 71,898.27