Finding the Third Proportional to 9,213 and 19,630.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,213 : 19,630.50 = 19,630.50 : x
2. Step 2: Convert to fraction form
   9,213/19,630.50 = 19,630.50/x
3. Step 3: Cross multiply
   9,213x = 19,630.50 × 19,630.50
4. Step 4: Simplify right side
   9,213x = 385,356,530.25
5. Step 5: Solve for x
   x = 385,356,530.25/9,213
6. Step 6: Final answer
   x = 41,827.48