Finding the Third Proportional to 10,225.13 and 15,427.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,225.13 : 15,427.69 = 15,427.69 : x
2. Step 2: Convert to fraction form
   10,225.13/15,427.69 = 15,427.69/x
3. Step 3: Cross multiply
   10,225.13x = 15,427.69 × 15,427.69
4. Step 4: Simplify right side
   10,225.13x = 238,013,541.60
5. Step 5: Solve for x
   x = 238,013,541.60/10,225.13
6. Step 6: Final answer
   x = 23,277.32