Finding the Third Proportional to 6,174 and 13,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,174 : 13,117.50 = 13,117.50 : x
2. Step 2: Convert to fraction form
   6,174/13,117.50 = 13,117.50/x
3. Step 3: Cross multiply
   6,174x = 13,117.50 × 13,117.50
4. Step 4: Simplify right side
   6,174x = 172,068,806.25
5. Step 5: Solve for x
   x = 172,068,806.25/6,174
6. Step 6: Final answer
   x = 27,869.91