Finding the Third Proportional to 15,501 and 33,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,501 : 33,769.50 = 33,769.50 : x
2. Step 2: Convert to fraction form
   15,501/33,769.50 = 33,769.50/x
3. Step 3: Cross multiply
   15,501x = 33,769.50 × 33,769.50
4. Step 4: Simplify right side
   15,501x = 1,140,379,130.25
5. Step 5: Solve for x
   x = 1,140,379,130.25/15,501
6. Step 6: Final answer
   x = 73,568.10