Finding the Third Proportional to 28,166 and 52,783

Step by Step Solution

1. Step 1: Write the proportion equation
   28,166 : 52,783 = 52,783 : x
2. Step 2: Convert to fraction form
   28,166/52,783 = 52,783/x
3. Step 3: Cross multiply
   28,166x = 52,783 × 52,783
4. Step 4: Simplify right side
   28,166x = 2,786,045,089
5. Step 5: Solve for x
   x = 2,786,045,089/28,166
6. Step 6: Final answer
   x = 98,915.18