Finding the Third Proportional to 24,186 and 37,357.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,186 : 37,357.50 = 37,357.50 : x
2. Step 2: Convert to fraction form
   24,186/37,357.50 = 37,357.50/x
3. Step 3: Cross multiply
   24,186x = 37,357.50 × 37,357.50
4. Step 4: Simplify right side
   24,186x = 1,395,582,806.25
5. Step 5: Solve for x
   x = 1,395,582,806.25/24,186
6. Step 6: Final answer
   x = 57,702.09