Finding the Third Proportional to 29,566.50 and 35,034

Step by Step Solution

1. Step 1: Write the proportion equation
   29,566.50 : 35,034 = 35,034 : x
2. Step 2: Convert to fraction form
   29,566.50/35,034 = 35,034/x
3. Step 3: Cross multiply
   29,566.50x = 35,034 × 35,034
4. Step 4: Simplify right side
   29,566.50x = 1,227,381,156
5. Step 5: Solve for x
   x = 1,227,381,156/29,566.50
6. Step 6: Final answer
   x = 41,512.56