Finding the Third Proportional to 10,526 and 16,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,526 : 16,422.50 = 16,422.50 : x
2. Step 2: Convert to fraction form
   10,526/16,422.50 = 16,422.50/x
3. Step 3: Cross multiply
   10,526x = 16,422.50 × 16,422.50
4. Step 4: Simplify right side
   10,526x = 269,698,506.25
5. Step 5: Solve for x
   x = 269,698,506.25/10,526
6. Step 6: Final answer
   x = 25,622.13