Finding the Third Proportional to 49,491 and 76,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,491 : 76,612.50 = 76,612.50 : x
2. Step 2: Convert to fraction form
   49,491/76,612.50 = 76,612.50/x
3. Step 3: Cross multiply
   49,491x = 76,612.50 × 76,612.50
4. Step 4: Simplify right side
   49,491x = 5,869,475,156.25
5. Step 5: Solve for x
   x = 5,869,475,156.25/49,491
6. Step 6: Final answer
   x = 118,596.82