Finding the Third Proportional to 38,097 and 59,197.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,097 : 59,197.50 = 59,197.50 : x
2. Step 2: Convert to fraction form
   38,097/59,197.50 = 59,197.50/x
3. Step 3: Cross multiply
   38,097x = 59,197.50 × 59,197.50
4. Step 4: Simplify right side
   38,097x = 3,504,344,006.25
5. Step 5: Solve for x
   x = 3,504,344,006.25/38,097
6. Step 6: Final answer
   x = 91,984.78