Finding the Third Proportional to 49,614 and 74,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,614 : 74,533.50 = 74,533.50 : x
2. Step 2: Convert to fraction form
   49,614/74,533.50 = 74,533.50/x
3. Step 3: Cross multiply
   49,614x = 74,533.50 × 74,533.50
4. Step 4: Simplify right side
   49,614x = 5,555,242,622.25
5. Step 5: Solve for x
   x = 5,555,242,622.25/49,614
6. Step 6: Final answer
   x = 111,969.26