Finding the Third Proportional to 14,686 and 22,372.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,686 : 22,372.50 = 22,372.50 : x
2. Step 2: Convert to fraction form
   14,686/22,372.50 = 22,372.50/x
3. Step 3: Cross multiply
   14,686x = 22,372.50 × 22,372.50
4. Step 4: Simplify right side
   14,686x = 500,528,756.25
5. Step 5: Solve for x
   x = 500,528,756.25/14,686
6. Step 6: Final answer
   x = 34,082.03