Finding the Third Proportional to 33,070 and 78,052

Step by Step Solution

1. Step 1: Write the proportion equation
   33,070 : 78,052 = 78,052 : x
2. Step 2: Convert to fraction form
   33,070/78,052 = 78,052/x
3. Step 3: Cross multiply
   33,070x = 78,052 × 78,052
4. Step 4: Simplify right side
   33,070x = 6,092,114,704
5. Step 5: Solve for x
   x = 6,092,114,704/33,070
6. Step 6: Final answer
   x = 184,218.77