Finding the Third Proportional to 36,516 and 52,182

Step by Step Solution

1. Step 1: Write the proportion equation
   36,516 : 52,182 = 52,182 : x
2. Step 2: Convert to fraction form
   36,516/52,182 = 52,182/x
3. Step 3: Cross multiply
   36,516x = 52,182 × 52,182
4. Step 4: Simplify right side
   36,516x = 2,722,961,124
5. Step 5: Solve for x
   x = 2,722,961,124/36,516
6. Step 6: Final answer
   x = 74,568.99