Finding the Third Proportional to 46,827 and 71,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,827 : 71,806.50 = 71,806.50 : x
2. Step 2: Convert to fraction form
   46,827/71,806.50 = 71,806.50/x
3. Step 3: Cross multiply
   46,827x = 71,806.50 × 71,806.50
4. Step 4: Simplify right side
   46,827x = 5,156,173,442.25
5. Step 5: Solve for x
   x = 5,156,173,442.25/46,827
6. Step 6: Final answer
   x = 110,111.12