Finding the Third Proportional to 30,627 and 48,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,627 : 48,856.50 = 48,856.50 : x
2. Step 2: Convert to fraction form
   30,627/48,856.50 = 48,856.50/x
3. Step 3: Cross multiply
   30,627x = 48,856.50 × 48,856.50
4. Step 4: Simplify right side
   30,627x = 2,386,957,592.25
5. Step 5: Solve for x
   x = 2,386,957,592.25/30,627
6. Step 6: Final answer
   x = 77,936.38