Finding the Third Proportional to 23,400 and 37,656

Step by Step Solution

1. Step 1: Write the proportion equation
   23,400 : 37,656 = 37,656 : x
2. Step 2: Convert to fraction form
   23,400/37,656 = 37,656/x
3. Step 3: Cross multiply
   23,400x = 37,656 × 37,656
4. Step 4: Simplify right side
   23,400x = 1,417,974,336
5. Step 5: Solve for x
   x = 1,417,974,336/23,400
6. Step 6: Final answer
   x = 60,597.19