Finding the Third Proportional to 21,141 and 32,506

Step by Step Solution

1. Step 1: Write the proportion equation
   21,141 : 32,506 = 32,506 : x
2. Step 2: Convert to fraction form
   21,141/32,506 = 32,506/x
3. Step 3: Cross multiply
   21,141x = 32,506 × 32,506
4. Step 4: Simplify right side
   21,141x = 1,056,640,036
5. Step 5: Solve for x
   x = 1,056,640,036/21,141
6. Step 6: Final answer
   x = 49,980.61