Finding the Third Proportional to 10,026 and 21,655.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026 : 21,655.50 = 21,655.50 : x
2. Step 2: Convert to fraction form
   10,026/21,655.50 = 21,655.50/x
3. Step 3: Cross multiply
   10,026x = 21,655.50 × 21,655.50
4. Step 4: Simplify right side
   10,026x = 468,960,680.25
5. Step 5: Solve for x
   x = 468,960,680.25/10,026
6. Step 6: Final answer
   x = 46,774.45