Finding the Third Proportional to 10,461 and 22,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,461 : 22,767.50 = 22,767.50 : x
2. Step 2: Convert to fraction form
   10,461/22,767.50 = 22,767.50/x
3. Step 3: Cross multiply
   10,461x = 22,767.50 × 22,767.50
4. Step 4: Simplify right side
   10,461x = 518,359,056.25
5. Step 5: Solve for x
   x = 518,359,056.25/10,461
6. Step 6: Final answer
   x = 49,551.58