Finding the Third Proportional to 16,627.50 and 35,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,627.50 : 35,892.50 = 35,892.50 : x
2. Step 2: Convert to fraction form
   16,627.50/35,892.50 = 35,892.50/x
3. Step 3: Cross multiply
   16,627.50x = 35,892.50 × 35,892.50
4. Step 4: Simplify right side
   16,627.50x = 1,288,271,556.25
5. Step 5: Solve for x
   x = 1,288,271,556.25/16,627.50
6. Step 6: Final answer
   x = 77,478.37