Finding the Third Proportional to 23,536 and 37,464

Step by Step Solution

1. Step 1: Write the proportion equation
   23,536 : 37,464 = 37,464 : x
2. Step 2: Convert to fraction form
   23,536/37,464 = 37,464/x
3. Step 3: Cross multiply
   23,536x = 37,464 × 37,464
4. Step 4: Simplify right side
   23,536x = 1,403,551,296
5. Step 5: Solve for x
   x = 1,403,551,296/23,536
6. Step 6: Final answer
   x = 59,634.23