Finding the Third Proportional to 20,077.50 and 46,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,077.50 : 46,492.50 = 46,492.50 : x
2. Step 2: Convert to fraction form
   20,077.50/46,492.50 = 46,492.50/x
3. Step 3: Cross multiply
   20,077.50x = 46,492.50 × 46,492.50
4. Step 4: Simplify right side
   20,077.50x = 2,161,552,556.25
5. Step 5: Solve for x
   x = 2,161,552,556.25/20,077.50
6. Step 6: Final answer
   x = 107,660.44