Finding the Third Proportional to 49,391 and 76,593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,391 : 76,593.50 = 76,593.50 : x
2. Step 2: Convert to fraction form
   49,391/76,593.50 = 76,593.50/x
3. Step 3: Cross multiply
   49,391x = 76,593.50 × 76,593.50
4. Step 4: Simplify right side
   49,391x = 5,866,564,242.25
5. Step 5: Solve for x
   x = 5,866,564,242.25/49,391
6. Step 6: Final answer
   x = 118,778.00