Finding the Third Proportional to 21,600 and 32,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,600 : 32,734.50 = 32,734.50 : x
2. Step 2: Convert to fraction form
   21,600/32,734.50 = 32,734.50/x
3. Step 3: Cross multiply
   21,600x = 32,734.50 × 32,734.50
4. Step 4: Simplify right side
   21,600x = 1,071,547,490.25
5. Step 5: Solve for x
   x = 1,071,547,490.25/21,600
6. Step 6: Final answer
   x = 49,608.68