Finding the Third Proportional to 49,776 and 77,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,776 : 77,071.50 = 77,071.50 : x
2. Step 2: Convert to fraction form
   49,776/77,071.50 = 77,071.50/x
3. Step 3: Cross multiply
   49,776x = 77,071.50 × 77,071.50
4. Step 4: Simplify right side
   49,776x = 5,940,016,112.25
5. Step 5: Solve for x
   x = 5,940,016,112.25/49,776
6. Step 6: Final answer
   x = 119,334.94