Finding the Third Proportional to 10,229 and 22,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,229 : 22,071.50 = 22,071.50 : x
2. Step 2: Convert to fraction form
   10,229/22,071.50 = 22,071.50/x
3. Step 3: Cross multiply
   10,229x = 22,071.50 × 22,071.50
4. Step 4: Simplify right side
   10,229x = 487,151,112.25
5. Step 5: Solve for x
   x = 487,151,112.25/10,229
6. Step 6: Final answer
   x = 47,624.51