Finding the Third Proportional to 33,683.50 and 73,347.06

Step by Step Solution

1. Step 1: Write the proportion equation
   33,683.50 : 73,347.06 = 73,347.06 : x
2. Step 2: Convert to fraction form
   33,683.50/73,347.06 = 73,347.06/x
3. Step 3: Cross multiply
   33,683.50x = 73,347.06 × 73,347.06
4. Step 4: Simplify right side
   33,683.50x = 5,379,791,577.38
5. Step 5: Solve for x
   x = 5,379,791,577.38/33,683.50
6. Step 6: Final answer
   x = 159,715.93