Finding the Third Proportional to 24,100 and 37,068

Step by Step Solution

1. Step 1: Write the proportion equation
   24,100 : 37,068 = 37,068 : x
2. Step 2: Convert to fraction form
   24,100/37,068 = 37,068/x
3. Step 3: Cross multiply
   24,100x = 37,068 × 37,068
4. Step 4: Simplify right side
   24,100x = 1,374,036,624
5. Step 5: Solve for x
   x = 1,374,036,624/24,100
6. Step 6: Final answer
   x = 57,013.97