Finding the Third Proportional to 25,083 and 37,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,083 : 37,624.50 = 37,624.50 : x
2. Step 2: Convert to fraction form
   25,083/37,624.50 = 37,624.50/x
3. Step 3: Cross multiply
   25,083x = 37,624.50 × 37,624.50
4. Step 4: Simplify right side
   25,083x = 1,415,603,000.25
5. Step 5: Solve for x
   x = 1,415,603,000.25/25,083
6. Step 6: Final answer
   x = 56,436.75