Finding the Third Proportional to 33,077.50 and 78,071

Step by Step Solution

1. Step 1: Write the proportion equation
   33,077.50 : 78,071 = 78,071 : x
2. Step 2: Convert to fraction form
   33,077.50/78,071 = 78,071/x
3. Step 3: Cross multiply
   33,077.50x = 78,071 × 78,071
4. Step 4: Simplify right side
   33,077.50x = 6,095,081,041
5. Step 5: Solve for x
   x = 6,095,081,041/33,077.50
6. Step 6: Final answer
   x = 184,266.68