Finding the Third Proportional to 47,946.09 and 75,213.14

Step by Step Solution

1. Step 1: Write the proportion equation
   47,946.09 : 75,213.14 = 75,213.14 : x
2. Step 2: Convert to fraction form
   47,946.09/75,213.14 = 75,213.14/x
3. Step 3: Cross multiply
   47,946.09x = 75,213.14 × 75,213.14
4. Step 4: Simplify right side
   47,946.09x = 5,657,016,522.68
5. Step 5: Solve for x
   x = 5,657,016,522.68/47,946.09
6. Step 6: Final answer
   x = 117,987.02