Finding the Third Proportional to 50,931 and 76,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,931 : 76,492.50 = 76,492.50 : x
2. Step 2: Convert to fraction form
   50,931/76,492.50 = 76,492.50/x
3. Step 3: Cross multiply
   50,931x = 76,492.50 × 76,492.50
4. Step 4: Simplify right side
   50,931x = 5,851,102,556.25
5. Step 5: Solve for x
   x = 5,851,102,556.25/50,931
6. Step 6: Final answer
   x = 114,882.93