Finding the Third Proportional to 24,924 and 41,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,924 : 41,539.50 = 41,539.50 : x
2. Step 2: Convert to fraction form
   24,924/41,539.50 = 41,539.50/x
3. Step 3: Cross multiply
   24,924x = 41,539.50 × 41,539.50
4. Step 4: Simplify right side
   24,924x = 1,725,530,060.25
5. Step 5: Solve for x
   x = 1,725,530,060.25/24,924
6. Step 6: Final answer
   x = 69,231.67