Finding the Third Proportional to 16,506 and 32,172

Step by Step Solution

1. Step 1: Write the proportion equation
   16,506 : 32,172 = 32,172 : x
2. Step 2: Convert to fraction form
   16,506/32,172 = 32,172/x
3. Step 3: Cross multiply
   16,506x = 32,172 × 32,172
4. Step 4: Simplify right side
   16,506x = 1,035,037,584
5. Step 5: Solve for x
   x = 1,035,037,584/16,506
6. Step 6: Final answer
   x = 62,706.75