Finding the Third Proportional to 15,688 and 32,654

Step by Step Solution

1. Step 1: Write the proportion equation
   15,688 : 32,654 = 32,654 : x
2. Step 2: Convert to fraction form
   15,688/32,654 = 32,654/x
3. Step 3: Cross multiply
   15,688x = 32,654 × 32,654
4. Step 4: Simplify right side
   15,688x = 1,066,283,716
5. Step 5: Solve for x
   x = 1,066,283,716/15,688
6. Step 6: Final answer
   x = 67,968.11