Finding the Third Proportional to 24,606 and 38,173.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,606 : 38,173.50 = 38,173.50 : x
2. Step 2: Convert to fraction form
   24,606/38,173.50 = 38,173.50/x
3. Step 3: Cross multiply
   24,606x = 38,173.50 × 38,173.50
4. Step 4: Simplify right side
   24,606x = 1,457,216,102.25
5. Step 5: Solve for x
   x = 1,457,216,102.25/24,606
6. Step 6: Final answer
   x = 59,221.98