Finding the Third Proportional to 24,642 and 38,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,642 : 38,227.50 = 38,227.50 : x
2. Step 2: Convert to fraction form
   24,642/38,227.50 = 38,227.50/x
3. Step 3: Cross multiply
   24,642x = 38,227.50 × 38,227.50
4. Step 4: Simplify right side
   24,642x = 1,461,341,756.25
5. Step 5: Solve for x
   x = 1,461,341,756.25/24,642
6. Step 6: Final answer
   x = 59,302.89