Finding the Third Proportional to 17,688 and 42,762

Step by Step Solution

1. Step 1: Write the proportion equation
   17,688 : 42,762 = 42,762 : x
2. Step 2: Convert to fraction form
   17,688/42,762 = 42,762/x
3. Step 3: Cross multiply
   17,688x = 42,762 × 42,762
4. Step 4: Simplify right side
   17,688x = 1,828,588,644
5. Step 5: Solve for x
   x = 1,828,588,644/17,688
6. Step 6: Final answer
   x = 103,380.18