Finding the Third Proportional to 34,911 and 51,880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,911 : 51,880.50 = 51,880.50 : x
2. Step 2: Convert to fraction form
   34,911/51,880.50 = 51,880.50/x
3. Step 3: Cross multiply
   34,911x = 51,880.50 × 51,880.50
4. Step 4: Simplify right side
   34,911x = 2,691,586,280.25
5. Step 5: Solve for x
   x = 2,691,586,280.25/34,911
6. Step 6: Final answer
   x = 77,098.52