Finding the Third Proportional to 21,429 and 32,122.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,429 : 32,122.50 = 32,122.50 : x
2. Step 2: Convert to fraction form
   21,429/32,122.50 = 32,122.50/x
3. Step 3: Cross multiply
   21,429x = 32,122.50 × 32,122.50
4. Step 4: Simplify right side
   21,429x = 1,031,855,006.25
5. Step 5: Solve for x
   x = 1,031,855,006.25/21,429
6. Step 6: Final answer
   x = 48,152.27