Finding the Third Proportional to 24,616 and 38,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,616 : 38,188.50 = 38,188.50 : x
2. Step 2: Convert to fraction form
   24,616/38,188.50 = 38,188.50/x
3. Step 3: Cross multiply
   24,616x = 38,188.50 × 38,188.50
4. Step 4: Simplify right side
   24,616x = 1,458,361,532.25
5. Step 5: Solve for x
   x = 1,458,361,532.25/24,616
6. Step 6: Final answer
   x = 59,244.46