Finding the Third Proportional to 16,478 and 32,140

Step by Step Solution

1. Step 1: Write the proportion equation
   16,478 : 32,140 = 32,140 : x
2. Step 2: Convert to fraction form
   16,478/32,140 = 32,140/x
3. Step 3: Cross multiply
   16,478x = 32,140 × 32,140
4. Step 4: Simplify right side
   16,478x = 1,032,979,600
5. Step 5: Solve for x
   x = 1,032,979,600/16,478
6. Step 6: Final answer
   x = 62,688.41