Finding the Third Proportional to 6,174.38 and 13,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,174.38 : 13,123.50 = 13,123.50 : x
2. Step 2: Convert to fraction form
   6,174.38/13,123.50 = 13,123.50/x
3. Step 3: Cross multiply
   6,174.38x = 13,123.50 × 13,123.50
4. Step 4: Simplify right side
   6,174.38x = 172,226,252.25
5. Step 5: Solve for x
   x = 172,226,252.25/6,174.38
6. Step 6: Final answer
   x = 27,893.71