Finding the Third Proportional to 20,506 and 31,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,506 : 31,624.50 = 31,624.50 : x
2. Step 2: Convert to fraction form
   20,506/31,624.50 = 31,624.50/x
3. Step 3: Cross multiply
   20,506x = 31,624.50 × 31,624.50
4. Step 4: Simplify right side
   20,506x = 1,000,109,000.25
5. Step 5: Solve for x
   x = 1,000,109,000.25/20,506
6. Step 6: Final answer
   x = 48,771.53