Finding the Third Proportional to 25,893 and 37,988.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,893 : 37,988.50 = 37,988.50 : x
2. Step 2: Convert to fraction form
   25,893/37,988.50 = 37,988.50/x
3. Step 3: Cross multiply
   25,893x = 37,988.50 × 37,988.50
4. Step 4: Simplify right side
   25,893x = 1,443,126,132.25
5. Step 5: Solve for x
   x = 1,443,126,132.25/25,893
6. Step 6: Final answer
   x = 55,734.22