Finding the Third Proportional to 33,813 and 72,148.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,813 : 72,148.50 = 72,148.50 : x
2. Step 2: Convert to fraction form
   33,813/72,148.50 = 72,148.50/x
3. Step 3: Cross multiply
   33,813x = 72,148.50 × 72,148.50
4. Step 4: Simplify right side
   33,813x = 5,205,406,052.25
5. Step 5: Solve for x
   x = 5,205,406,052.25/33,813
6. Step 6: Final answer
   x = 153,946.89