Finding the Third Proportional to 16,188 and 32,970

Step by Step Solution

1. Step 1: Write the proportion equation
   16,188 : 32,970 = 32,970 : x
2. Step 2: Convert to fraction form
   16,188/32,970 = 32,970/x
3. Step 3: Cross multiply
   16,188x = 32,970 × 32,970
4. Step 4: Simplify right side
   16,188x = 1,087,020,900
5. Step 5: Solve for x
   x = 1,087,020,900/16,188
6. Step 6: Final answer
   x = 67,149.80