Finding the Third Proportional to 46,838 and 71,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,838 : 71,422.50 = 71,422.50 : x
2. Step 2: Convert to fraction form
   46,838/71,422.50 = 71,422.50/x
3. Step 3: Cross multiply
   46,838x = 71,422.50 × 71,422.50
4. Step 4: Simplify right side
   46,838x = 5,101,173,506.25
5. Step 5: Solve for x
   x = 5,101,173,506.25/46,838
6. Step 6: Final answer
   x = 108,911.00