Finding the Third Proportional to 23,026 and 49,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,026 : 49,553.50 = 49,553.50 : x
2. Step 2: Convert to fraction form
   23,026/49,553.50 = 49,553.50/x
3. Step 3: Cross multiply
   23,026x = 49,553.50 × 49,553.50
4. Step 4: Simplify right side
   23,026x = 2,455,549,362.25
5. Step 5: Solve for x
   x = 2,455,549,362.25/23,026
6. Step 6: Final answer
   x = 106,642.46