Finding the Third Proportional to 47,964.50 and 75,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,964.50 : 75,077.50 = 75,077.50 : x
2. Step 2: Convert to fraction form
   47,964.50/75,077.50 = 75,077.50/x
3. Step 3: Cross multiply
   47,964.50x = 75,077.50 × 75,077.50
4. Step 4: Simplify right side
   47,964.50x = 5,636,631,006.25
5. Step 5: Solve for x
   x = 5,636,631,006.25/47,964.50
6. Step 6: Final answer
   x = 117,516.73