Finding the Third Proportional to 51,839 and 76,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,839 : 76,101.50 = 76,101.50 : x
2. Step 2: Convert to fraction form
   51,839/76,101.50 = 76,101.50/x
3. Step 3: Cross multiply
   51,839x = 76,101.50 × 76,101.50
4. Step 4: Simplify right side
   51,839x = 5,791,438,302.25
5. Step 5: Solve for x
   x = 5,791,438,302.25/51,839
6. Step 6: Final answer
   x = 111,719.71