Finding the Third Proportional to 12,174 and 25,912.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,174 : 25,912.50 = 25,912.50 : x
2. Step 2: Convert to fraction form
   12,174/25,912.50 = 25,912.50/x
3. Step 3: Cross multiply
   12,174x = 25,912.50 × 25,912.50
4. Step 4: Simplify right side
   12,174x = 671,457,656.25
5. Step 5: Solve for x
   x = 671,457,656.25/12,174
6. Step 6: Final answer
   x = 55,155.06