Finding the Third Proportional to 10,892.50 and 23,585

Step by Step Solution

1. Step 1: Write the proportion equation
   10,892.50 : 23,585 = 23,585 : x
2. Step 2: Convert to fraction form
   10,892.50/23,585 = 23,585/x
3. Step 3: Cross multiply
   10,892.50x = 23,585 × 23,585
4. Step 4: Simplify right side
   10,892.50x = 556,252,225
5. Step 5: Solve for x
   x = 556,252,225/10,892.50
6. Step 6: Final answer
   x = 51,067.45