Finding the Third Proportional to 27,714 and 52,876.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,714 : 52,876.50 = 52,876.50 : x
2. Step 2: Convert to fraction form
   27,714/52,876.50 = 52,876.50/x
3. Step 3: Cross multiply
   27,714x = 52,876.50 × 52,876.50
4. Step 4: Simplify right side
   27,714x = 2,795,924,252.25
5. Step 5: Solve for x
   x = 2,795,924,252.25/27,714
6. Step 6: Final answer
   x = 100,884.90