Finding the Third Proportional to 10,251 and 23,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,251 : 23,152.50 = 23,152.50 : x
2. Step 2: Convert to fraction form
   10,251/23,152.50 = 23,152.50/x
3. Step 3: Cross multiply
   10,251x = 23,152.50 × 23,152.50
4. Step 4: Simplify right side
   10,251x = 536,038,256.25
5. Step 5: Solve for x
   x = 536,038,256.25/10,251
6. Step 6: Final answer
   x = 52,291.31