Finding the Third Proportional to 24,156 and 37,568.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,156 : 37,568.25 = 37,568.25 : x
2. Step 2: Convert to fraction form
   24,156/37,568.25 = 37,568.25/x
3. Step 3: Cross multiply
   24,156x = 37,568.25 × 37,568.25
4. Step 4: Simplify right side
   24,156x = 1,411,373,408.06
5. Step 5: Solve for x
   x = 1,411,373,408.06/24,156
6. Step 6: Final answer
   x = 58,427.45