Finding the Third Proportional to 51,269.50 and 77,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,269.50 : 77,587.50 = 77,587.50 : x
2. Step 2: Convert to fraction form
   51,269.50/77,587.50 = 77,587.50/x
3. Step 3: Cross multiply
   51,269.50x = 77,587.50 × 77,587.50
4. Step 4: Simplify right side
   51,269.50x = 6,019,820,156.25
5. Step 5: Solve for x
   x = 6,019,820,156.25/51,269.50
6. Step 6: Final answer
   x = 117,415.23