Finding the Third Proportional to 51,817.50 and 77,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,817.50 : 77,405.50 = 77,405.50 : x
2. Step 2: Convert to fraction form
   51,817.50/77,405.50 = 77,405.50/x
3. Step 3: Cross multiply
   51,817.50x = 77,405.50 × 77,405.50
4. Step 4: Simplify right side
   51,817.50x = 5,991,611,430.25
5. Step 5: Solve for x
   x = 5,991,611,430.25/51,817.50
6. Step 6: Final answer
   x = 115,629.11