Finding the Third Proportional to 12,097 and 32,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,097 : 32,858.50 = 32,858.50 : x
2. Step 2: Convert to fraction form
   12,097/32,858.50 = 32,858.50/x
3. Step 3: Cross multiply
   12,097x = 32,858.50 × 32,858.50
4. Step 4: Simplify right side
   12,097x = 1,079,681,022.25
5. Step 5: Solve for x
   x = 1,079,681,022.25/12,097
6. Step 6: Final answer
   x = 89,251.97