Finding the Third Proportional to 12,189.23 and 25,196.06

Step by Step Solution

1. Step 1: Write the proportion equation
   12,189.23 : 25,196.06 = 25,196.06 : x
2. Step 2: Convert to fraction form
   12,189.23/25,196.06 = 25,196.06/x
3. Step 3: Cross multiply
   12,189.23x = 25,196.06 × 25,196.06
4. Step 4: Simplify right side
   12,189.23x = 634,841,565.50
5. Step 5: Solve for x
   x = 634,841,565.50/12,189.23
6. Step 6: Final answer
   x = 52,082.15