Finding the Third Proportional to 49,762 and 77,047

Step by Step Solution

1. Step 1: Write the proportion equation
   49,762 : 77,047 = 77,047 : x
2. Step 2: Convert to fraction form
   49,762/77,047 = 77,047/x
3. Step 3: Cross multiply
   49,762x = 77,047 × 77,047
4. Step 4: Simplify right side
   49,762x = 5,936,240,209
5. Step 5: Solve for x
   x = 5,936,240,209/49,762
6. Step 6: Final answer
   x = 119,292.64