Finding the Third Proportional to 14,656 and 23,316

Step by Step Solution

1. Step 1: Write the proportion equation
   14,656 : 23,316 = 23,316 : x
2. Step 2: Convert to fraction form
   14,656/23,316 = 23,316/x
3. Step 3: Cross multiply
   14,656x = 23,316 × 23,316
4. Step 4: Simplify right side
   14,656x = 543,635,856
5. Step 5: Solve for x
   x = 543,635,856/14,656
6. Step 6: Final answer
   x = 37,093.06