Finding the Third Proportional to 14,688 and 22,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,688 : 22,678.50 = 22,678.50 : x
2. Step 2: Convert to fraction form
   14,688/22,678.50 = 22,678.50/x
3. Step 3: Cross multiply
   14,688x = 22,678.50 × 22,678.50
4. Step 4: Simplify right side
   14,688x = 514,314,362.25
5. Step 5: Solve for x
   x = 514,314,362.25/14,688
6. Step 6: Final answer
   x = 35,015.96