Finding the Third Proportional to 23,478.50 and 52,206

Step by Step Solution

1. Step 1: Write the proportion equation
   23,478.50 : 52,206 = 52,206 : x
2. Step 2: Convert to fraction form
   23,478.50/52,206 = 52,206/x
3. Step 3: Cross multiply
   23,478.50x = 52,206 × 52,206
4. Step 4: Simplify right side
   23,478.50x = 2,725,466,436
5. Step 5: Solve for x
   x = 2,725,466,436/23,478.50
6. Step 6: Final answer
   x = 116,083.50