Finding the Third Proportional to 24,840 and 37,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,840 : 37,492.50 = 37,492.50 : x
2. Step 2: Convert to fraction form
   24,840/37,492.50 = 37,492.50/x
3. Step 3: Cross multiply
   24,840x = 37,492.50 × 37,492.50
4. Step 4: Simplify right side
   24,840x = 1,405,687,556.25
5. Step 5: Solve for x
   x = 1,405,687,556.25/24,840
6. Step 6: Final answer
   x = 56,589.68