Finding the Third Proportional to 24,135.75 and 37,298.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,135.75 : 37,298.25 = 37,298.25 : x
2. Step 2: Convert to fraction form
   24,135.75/37,298.25 = 37,298.25/x
3. Step 3: Cross multiply
   24,135.75x = 37,298.25 × 37,298.25
4. Step 4: Simplify right side
   24,135.75x = 1,391,159,453.06
5. Step 5: Solve for x
   x = 1,391,159,453.06/24,135.75
6. Step 6: Final answer
   x = 57,638.96