Finding the Third Proportional to 57,508 and 77,290

Step by Step Solution

1. Step 1: Write the proportion equation
   57,508 : 77,290 = 77,290 : x
2. Step 2: Convert to fraction form
   57,508/77,290 = 77,290/x
3. Step 3: Cross multiply
   57,508x = 77,290 × 77,290
4. Step 4: Simplify right side
   57,508x = 5,973,744,100
5. Step 5: Solve for x
   x = 5,973,744,100/57,508
6. Step 6: Final answer
   x = 103,876.75