Finding the Third Proportional to 10,152 and 22,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152 : 22,081.50 = 22,081.50 : x
2. Step 2: Convert to fraction form
   10,152/22,081.50 = 22,081.50/x
3. Step 3: Cross multiply
   10,152x = 22,081.50 × 22,081.50
4. Step 4: Simplify right side
   10,152x = 487,592,642.25
5. Step 5: Solve for x
   x = 487,592,642.25/10,152
6. Step 6: Final answer
   x = 48,029.22