Finding the Third Proportional to 34,106 and 74,045

Step by Step Solution

1. Step 1: Write the proportion equation
   34,106 : 74,045 = 74,045 : x
2. Step 2: Convert to fraction form
   34,106/74,045 = 74,045/x
3. Step 3: Cross multiply
   34,106x = 74,045 × 74,045
4. Step 4: Simplify right side
   34,106x = 5,482,662,025
5. Step 5: Solve for x
   x = 5,482,662,025/34,106
6. Step 6: Final answer
   x = 160,753.59