Finding the Third Proportional to 14,202 and 22,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,202 : 22,345.50 = 22,345.50 : x
2. Step 2: Convert to fraction form
   14,202/22,345.50 = 22,345.50/x
3. Step 3: Cross multiply
   14,202x = 22,345.50 × 22,345.50
4. Step 4: Simplify right side
   14,202x = 499,321,370.25
5. Step 5: Solve for x
   x = 499,321,370.25/14,202
6. Step 6: Final answer
   x = 35,158.52