Finding the Third Proportional to 33,399 and 77,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,399 : 77,665.50 = 77,665.50 : x
2. Step 2: Convert to fraction form
   33,399/77,665.50 = 77,665.50/x
3. Step 3: Cross multiply
   33,399x = 77,665.50 × 77,665.50
4. Step 4: Simplify right side
   33,399x = 6,031,929,890.25
5. Step 5: Solve for x
   x = 6,031,929,890.25/33,399
6. Step 6: Final answer
   x = 180,602.11