Finding the Third Proportional to 23,826.50 and 52,321

Step by Step Solution

1. Step 1: Write the proportion equation
   23,826.50 : 52,321 = 52,321 : x
2. Step 2: Convert to fraction form
   23,826.50/52,321 = 52,321/x
3. Step 3: Cross multiply
   23,826.50x = 52,321 × 52,321
4. Step 4: Simplify right side
   23,826.50x = 2,737,487,041
5. Step 5: Solve for x
   x = 2,737,487,041/23,826.50
6. Step 6: Final answer
   x = 114,892.54