Finding the Third Proportional to 45,843 and 72,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,843 : 72,946.50 = 72,946.50 : x
2. Step 2: Convert to fraction form
   45,843/72,946.50 = 72,946.50/x
3. Step 3: Cross multiply
   45,843x = 72,946.50 × 72,946.50
4. Step 4: Simplify right side
   45,843x = 5,321,191,862.25
5. Step 5: Solve for x
   x = 5,321,191,862.25/45,843
6. Step 6: Final answer
   x = 116,074.25