Finding the Third Proportional to 33,114 and 72,052

Step by Step Solution

1. Step 1: Write the proportion equation
   33,114 : 72,052 = 72,052 : x
2. Step 2: Convert to fraction form
   33,114/72,052 = 72,052/x
3. Step 3: Cross multiply
   33,114x = 72,052 × 72,052
4. Step 4: Simplify right side
   33,114x = 5,191,490,704
5. Step 5: Solve for x
   x = 5,191,490,704/33,114
6. Step 6: Final answer
   x = 156,776.31