Finding the Third Proportional to 38,213 and 42,951.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,213 : 42,951.50 = 42,951.50 : x
2. Step 2: Convert to fraction form
   38,213/42,951.50 = 42,951.50/x
3. Step 3: Cross multiply
   38,213x = 42,951.50 × 42,951.50
4. Step 4: Simplify right side
   38,213x = 1,844,831,352.25
5. Step 5: Solve for x
   x = 1,844,831,352.25/38,213
6. Step 6: Final answer
   x = 48,277.58