Finding the Third Proportional to 13,508 and 32,034

Step by Step Solution

1. Step 1: Write the proportion equation
   13,508 : 32,034 = 32,034 : x
2. Step 2: Convert to fraction form
   13,508/32,034 = 32,034/x
3. Step 3: Cross multiply
   13,508x = 32,034 × 32,034
4. Step 4: Simplify right side
   13,508x = 1,026,177,156
5. Step 5: Solve for x
   x = 1,026,177,156/13,508
6. Step 6: Final answer
   x = 75,968.10