Finding the Third Proportional to 23,097 and 49,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,097 : 49,837.50 = 49,837.50 : x
2. Step 2: Convert to fraction form
   23,097/49,837.50 = 49,837.50/x
3. Step 3: Cross multiply
   23,097x = 49,837.50 × 49,837.50
4. Step 4: Simplify right side
   23,097x = 2,483,776,406.25
5. Step 5: Solve for x
   x = 2,483,776,406.25/23,097
6. Step 6: Final answer
   x = 107,536.75