Finding the Third Proportional to 34,066 and 74,132

Step by Step Solution

1. Step 1: Write the proportion equation
   34,066 : 74,132 = 74,132 : x
2. Step 2: Convert to fraction form
   34,066/74,132 = 74,132/x
3. Step 3: Cross multiply
   34,066x = 74,132 × 74,132
4. Step 4: Simplify right side
   34,066x = 5,495,553,424
5. Step 5: Solve for x
   x = 5,495,553,424/34,066
6. Step 6: Final answer
   x = 161,320.77