Finding the Third Proportional to 29,766 and 45,034

Step by Step Solution

1. Step 1: Write the proportion equation
   29,766 : 45,034 = 45,034 : x
2. Step 2: Convert to fraction form
   29,766/45,034 = 45,034/x
3. Step 3: Cross multiply
   29,766x = 45,034 × 45,034
4. Step 4: Simplify right side
   29,766x = 2,028,061,156
5. Step 5: Solve for x
   x = 2,028,061,156/29,766
6. Step 6: Final answer
   x = 68,133.48