Finding the Third Proportional to 24,152 and 37,168

Step by Step Solution

1. Step 1: Write the proportion equation
   24,152 : 37,168 = 37,168 : x
2. Step 2: Convert to fraction form
   24,152/37,168 = 37,168/x
3. Step 3: Cross multiply
   24,152x = 37,168 × 37,168
4. Step 4: Simplify right side
   24,152x = 1,381,460,224
5. Step 5: Solve for x
   x = 1,381,460,224/24,152
6. Step 6: Final answer
   x = 57,198.58