Finding the Third Proportional to 4,672 and 10,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,672 : 10,029.50 = 10,029.50 : x
2. Step 2: Convert to fraction form
   4,672/10,029.50 = 10,029.50/x
3. Step 3: Cross multiply
   4,672x = 10,029.50 × 10,029.50
4. Step 4: Simplify right side
   4,672x = 100,590,870.25
5. Step 5: Solve for x
   x = 100,590,870.25/4,672
6. Step 6: Final answer
   x = 21,530.58