Finding the Third Proportional to 23,097 and 37,195.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,097 : 37,195.50 = 37,195.50 : x
2. Step 2: Convert to fraction form
   23,097/37,195.50 = 37,195.50/x
3. Step 3: Cross multiply
   23,097x = 37,195.50 × 37,195.50
4. Step 4: Simplify right side
   23,097x = 1,383,505,220.25
5. Step 5: Solve for x
   x = 1,383,505,220.25/23,097
6. Step 6: Final answer
   x = 59,899.78