Finding the Third Proportional to 36,464 and 57,123

Step by Step Solution

1. Step 1: Write the proportion equation
   36,464 : 57,123 = 57,123 : x
2. Step 2: Convert to fraction form
   36,464/57,123 = 57,123/x
3. Step 3: Cross multiply
   36,464x = 57,123 × 57,123
4. Step 4: Simplify right side
   36,464x = 3,263,037,129
5. Step 5: Solve for x
   x = 3,263,037,129/36,464
6. Step 6: Final answer
   x = 89,486.54