Finding the Third Proportional to 11,677.50 and 24,994.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,677.50 : 24,994.50 = 24,994.50 : x
2. Step 2: Convert to fraction form
   11,677.50/24,994.50 = 24,994.50/x
3. Step 3: Cross multiply
   11,677.50x = 24,994.50 × 24,994.50
4. Step 4: Simplify right side
   11,677.50x = 624,725,030.25
5. Step 5: Solve for x
   x = 624,725,030.25/11,677.50
6. Step 6: Final answer
   x = 53,498.18