Finding the Third Proportional to 6,972 and 14,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,972 : 14,719.50 = 14,719.50 : x
2. Step 2: Convert to fraction form
   6,972/14,719.50 = 14,719.50/x
3. Step 3: Cross multiply
   6,972x = 14,719.50 × 14,719.50
4. Step 4: Simplify right side
   6,972x = 216,663,680.25
5. Step 5: Solve for x
   x = 216,663,680.25/6,972
6. Step 6: Final answer
   x = 31,076.26