Finding the Third Proportional to 47,973 and 75,091.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,973 : 75,091.50 = 75,091.50 : x
2. Step 2: Convert to fraction form
   47,973/75,091.50 = 75,091.50/x
3. Step 3: Cross multiply
   47,973x = 75,091.50 × 75,091.50
4. Step 4: Simplify right side
   47,973x = 5,638,733,372.25
5. Step 5: Solve for x
   x = 5,638,733,372.25/47,973
6. Step 6: Final answer
   x = 117,539.73