Finding the Third Proportional to 21,705 and 32,551.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,705 : 32,551.50 = 32,551.50 : x
2. Step 2: Convert to fraction form
   21,705/32,551.50 = 32,551.50/x
3. Step 3: Cross multiply
   21,705x = 32,551.50 × 32,551.50
4. Step 4: Simplify right side
   21,705x = 1,059,600,152.25
5. Step 5: Solve for x
   x = 1,059,600,152.25/21,705
6. Step 6: Final answer
   x = 48,818.25