Finding the Third Proportional to 51,806.50 and 77,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,806.50 : 77,457.50 = 77,457.50 : x
2. Step 2: Convert to fraction form
   51,806.50/77,457.50 = 77,457.50/x
3. Step 3: Cross multiply
   51,806.50x = 77,457.50 × 77,457.50
4. Step 4: Simplify right side
   51,806.50x = 5,999,664,306.25
5. Step 5: Solve for x
   x = 5,999,664,306.25/51,806.50
6. Step 6: Final answer
   x = 115,809.10