Finding the Third Proportional to 33,819 and 74,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,819 : 74,014.50 = 74,014.50 : x
2. Step 2: Convert to fraction form
   33,819/74,014.50 = 74,014.50/x
3. Step 3: Cross multiply
   33,819x = 74,014.50 × 74,014.50
4. Step 4: Simplify right side
   33,819x = 5,478,146,210.25
5. Step 5: Solve for x
   x = 5,478,146,210.25/33,819
6. Step 6: Final answer
   x = 161,984.28