Finding the Third Proportional to 48,977 and 75,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,977 : 75,697.50 = 75,697.50 : x
2. Step 2: Convert to fraction form
   48,977/75,697.50 = 75,697.50/x
3. Step 3: Cross multiply
   48,977x = 75,697.50 × 75,697.50
4. Step 4: Simplify right side
   48,977x = 5,730,111,506.25
5. Step 5: Solve for x
   x = 5,730,111,506.25/48,977
6. Step 6: Final answer
   x = 116,995.97