Finding the Third Proportional to 10,894.50 and 23,097.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,894.50 : 23,097.38 = 23,097.38 : x
2. Step 2: Convert to fraction form
   10,894.50/23,097.38 = 23,097.38/x
3. Step 3: Cross multiply
   10,894.50x = 23,097.38 × 23,097.38
4. Step 4: Simplify right side
   10,894.50x = 533,488,731.89
5. Step 5: Solve for x
   x = 533,488,731.89/10,894.50
6. Step 6: Final answer
   x = 48,968.63