Finding the Third Proportional to 29,688 and 45,960

Step by Step Solution

1. Step 1: Write the proportion equation
   29,688 : 45,960 = 45,960 : x
2. Step 2: Convert to fraction form
   29,688/45,960 = 45,960/x
3. Step 3: Cross multiply
   29,688x = 45,960 × 45,960
4. Step 4: Simplify right side
   29,688x = 2,112,321,600
5. Step 5: Solve for x
   x = 2,112,321,600/29,688
6. Step 6: Final answer
   x = 71,150.69