Finding the Third Proportional to 49,690.50 and 76,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,690.50 : 76,762.50 = 76,762.50 : x
2. Step 2: Convert to fraction form
   49,690.50/76,762.50 = 76,762.50/x
3. Step 3: Cross multiply
   49,690.50x = 76,762.50 × 76,762.50
4. Step 4: Simplify right side
   49,690.50x = 5,892,481,406.25
5. Step 5: Solve for x
   x = 5,892,481,406.25/49,690.50
6. Step 6: Final answer
   x = 118,583.66