Finding the Third Proportional to 49,094.25 and 77,863.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,094.25 : 77,863.50 = 77,863.50 : x
2. Step 2: Convert to fraction form
   49,094.25/77,863.50 = 77,863.50/x
3. Step 3: Cross multiply
   49,094.25x = 77,863.50 × 77,863.50
4. Step 4: Simplify right side
   49,094.25x = 6,062,724,632.25
5. Step 5: Solve for x
   x = 6,062,724,632.25/49,094.25
6. Step 6: Final answer
   x = 123,491.54