Finding the Third Proportional to 49,850 and 76,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,850 : 76,622.50 = 76,622.50 : x
2. Step 2: Convert to fraction form
   49,850/76,622.50 = 76,622.50/x
3. Step 3: Cross multiply
   49,850x = 76,622.50 × 76,622.50
4. Step 4: Simplify right side
   49,850x = 5,871,007,506.25
5. Step 5: Solve for x
   x = 5,871,007,506.25/49,850
6. Step 6: Final answer
   x = 117,773.47