Finding the Third Proportional to 49,461 and 75,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,461 : 75,829.50 = 75,829.50 : x
2. Step 2: Convert to fraction form
   49,461/75,829.50 = 75,829.50/x
3. Step 3: Cross multiply
   49,461x = 75,829.50 × 75,829.50
4. Step 4: Simplify right side
   49,461x = 5,750,113,070.25
5. Step 5: Solve for x
   x = 5,750,113,070.25/49,461
6. Step 6: Final answer
   x = 116,255.50