Finding the Third Proportional to 24,216 and 37,420.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,216 : 37,420.50 = 37,420.50 : x
2. Step 2: Convert to fraction form
   24,216/37,420.50 = 37,420.50/x
3. Step 3: Cross multiply
   24,216x = 37,420.50 × 37,420.50
4. Step 4: Simplify right side
   24,216x = 1,400,293,820.25
5. Step 5: Solve for x
   x = 1,400,293,820.25/24,216
6. Step 6: Final answer
   x = 57,825.15