Finding the Third Proportional to 51,817.50 and 77,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,817.50 : 77,870.50 = 77,870.50 : x
2. Step 2: Convert to fraction form
   51,817.50/77,870.50 = 77,870.50/x
3. Step 3: Cross multiply
   51,817.50x = 77,870.50 × 77,870.50
4. Step 4: Simplify right side
   51,817.50x = 6,063,814,770.25
5. Step 5: Solve for x
   x = 6,063,814,770.25/51,817.50
6. Step 6: Final answer
   x = 117,022.53