Finding the Third Proportional to 33,403 and 77,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,403 : 77,675.50 = 77,675.50 : x
2. Step 2: Convert to fraction form
   33,403/77,675.50 = 77,675.50/x
3. Step 3: Cross multiply
   33,403x = 77,675.50 × 77,675.50
4. Step 4: Simplify right side
   33,403x = 6,033,483,300.25
5. Step 5: Solve for x
   x = 6,033,483,300.25/33,403
6. Step 6: Final answer
   x = 180,626.99