Finding the Third Proportional to 47,971.50 and 75,089.25

Step by Step Solution

1. Step 1: Write the proportion equation
   47,971.50 : 75,089.25 = 75,089.25 : x
2. Step 2: Convert to fraction form
   47,971.50/75,089.25 = 75,089.25/x
3. Step 3: Cross multiply
   47,971.50x = 75,089.25 × 75,089.25
4. Step 4: Simplify right side
   47,971.50x = 5,638,395,465.56
5. Step 5: Solve for x
   x = 5,638,395,465.56/47,971.50
6. Step 6: Final answer
   x = 117,536.36