Finding the Third Proportional to 31,277 and 48,502.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,277 : 48,502.50 = 48,502.50 : x
2. Step 2: Convert to fraction form
   31,277/48,502.50 = 48,502.50/x
3. Step 3: Cross multiply
   31,277x = 48,502.50 × 48,502.50
4. Step 4: Simplify right side
   31,277x = 2,352,492,506.25
5. Step 5: Solve for x
   x = 2,352,492,506.25/31,277
6. Step 6: Final answer
   x = 75,214.77