Finding the Third Proportional to 33,099 and 78,068.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,099 : 78,068.25 = 78,068.25 : x
2. Step 2: Convert to fraction form
   33,099/78,068.25 = 78,068.25/x
3. Step 3: Cross multiply
   33,099x = 78,068.25 × 78,068.25
4. Step 4: Simplify right side
   33,099x = 6,094,651,658.06
5. Step 5: Solve for x
   x = 6,094,651,658.06/33,099
6. Step 6: Final answer
   x = 184,134.01