Finding the Third Proportional to 33,984 and 74,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,984 : 74,533.50 = 74,533.50 : x
2. Step 2: Convert to fraction form
   33,984/74,533.50 = 74,533.50/x
3. Step 3: Cross multiply
   33,984x = 74,533.50 × 74,533.50
4. Step 4: Simplify right side
   33,984x = 5,555,242,622.25
5. Step 5: Solve for x
   x = 5,555,242,622.25/33,984
6. Step 6: Final answer
   x = 163,466.41