Finding the Third Proportional to 24,259 and 38,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,259 : 38,575.50 = 38,575.50 : x
2. Step 2: Convert to fraction form
   24,259/38,575.50 = 38,575.50/x
3. Step 3: Cross multiply
   24,259x = 38,575.50 × 38,575.50
4. Step 4: Simplify right side
   24,259x = 1,488,069,200.25
5. Step 5: Solve for x
   x = 1,488,069,200.25/24,259
6. Step 6: Final answer
   x = 61,340.91