Finding the Third Proportional to 47,968.50 and 75,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,968.50 : 75,082.50 = 75,082.50 : x
2. Step 2: Convert to fraction form
   47,968.50/75,082.50 = 75,082.50/x
3. Step 3: Cross multiply
   47,968.50x = 75,082.50 × 75,082.50
4. Step 4: Simplify right side
   47,968.50x = 5,637,381,806.25
5. Step 5: Solve for x
   x = 5,637,381,806.25/47,968.50
6. Step 6: Final answer
   x = 117,522.58