Finding the Third Proportional to 10,572 and 22,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,572 : 22,642.50 = 22,642.50 : x
2. Step 2: Convert to fraction form
   10,572/22,642.50 = 22,642.50/x
3. Step 3: Cross multiply
   10,572x = 22,642.50 × 22,642.50
4. Step 4: Simplify right side
   10,572x = 512,682,806.25
5. Step 5: Solve for x
   x = 512,682,806.25/10,572
6. Step 6: Final answer
   x = 48,494.40