Finding the Third Proportional to 27,654 and 37,500

Step by Step Solution

1. Step 1: Write the proportion equation
   27,654 : 37,500 = 37,500 : x
2. Step 2: Convert to fraction form
   27,654/37,500 = 37,500/x
3. Step 3: Cross multiply
   27,654x = 37,500 × 37,500
4. Step 4: Simplify right side
   27,654x = 1,406,250,000
5. Step 5: Solve for x
   x = 1,406,250,000/27,654
6. Step 6: Final answer
   x = 50,851.59