Finding the Third Proportional to 50,100 and 77,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,100 : 77,038.50 = 77,038.50 : x
2. Step 2: Convert to fraction form
   50,100/77,038.50 = 77,038.50/x
3. Step 3: Cross multiply
   50,100x = 77,038.50 × 77,038.50
4. Step 4: Simplify right side
   50,100x = 5,934,930,482.25
5. Step 5: Solve for x
   x = 5,934,930,482.25/50,100
6. Step 6: Final answer
   x = 118,461.69