Finding the Third Proportional to 19,213 and 28,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,213 : 28,697.50 = 28,697.50 : x
2. Step 2: Convert to fraction form
   19,213/28,697.50 = 28,697.50/x
3. Step 3: Cross multiply
   19,213x = 28,697.50 × 28,697.50
4. Step 4: Simplify right side
   19,213x = 823,546,506.25
5. Step 5: Solve for x
   x = 823,546,506.25/19,213
6. Step 6: Final answer
   x = 42,864.02