Finding the Third Proportional to 21,234 and 29,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,234 : 29,680.50 = 29,680.50 : x
2. Step 2: Convert to fraction form
   21,234/29,680.50 = 29,680.50/x
3. Step 3: Cross multiply
   21,234x = 29,680.50 × 29,680.50
4. Step 4: Simplify right side
   21,234x = 880,932,080.25
5. Step 5: Solve for x
   x = 880,932,080.25/21,234
6. Step 6: Final answer
   x = 41,486.86