Finding the Third Proportional to 23,184 and 37,332

Step by Step Solution

1. Step 1: Write the proportion equation
   23,184 : 37,332 = 37,332 : x
2. Step 2: Convert to fraction form
   23,184/37,332 = 37,332/x
3. Step 3: Cross multiply
   23,184x = 37,332 × 37,332
4. Step 4: Simplify right side
   23,184x = 1,393,678,224
5. Step 5: Solve for x
   x = 1,393,678,224/23,184
6. Step 6: Final answer
   x = 60,113.80