Finding the Third Proportional to 13,834.50 and 21,156.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,834.50 : 21,156.75 = 21,156.75 : x
2. Step 2: Convert to fraction form
   13,834.50/21,156.75 = 21,156.75/x
3. Step 3: Cross multiply
   13,834.50x = 21,156.75 × 21,156.75
4. Step 4: Simplify right side
   13,834.50x = 447,608,070.56
5. Step 5: Solve for x
   x = 447,608,070.56/13,834.50
6. Step 6: Final answer
   x = 32,354.48