Finding the Third Proportional to 30,096.75 and 45,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,096.75 : 45,946.50 = 45,946.50 : x
2. Step 2: Convert to fraction form
   30,096.75/45,946.50 = 45,946.50/x
3. Step 3: Cross multiply
   30,096.75x = 45,946.50 × 45,946.50
4. Step 4: Simplify right side
   30,096.75x = 2,111,080,862.25
5. Step 5: Solve for x
   x = 2,111,080,862.25/30,096.75
6. Step 6: Final answer
   x = 70,143.15