Finding the Third Proportional to 34,688 and 77,140

Step by Step Solution

1. Step 1: Write the proportion equation
   34,688 : 77,140 = 77,140 : x
2. Step 2: Convert to fraction form
   34,688/77,140 = 77,140/x
3. Step 3: Cross multiply
   34,688x = 77,140 × 77,140
4. Step 4: Simplify right side
   34,688x = 5,950,579,600
5. Step 5: Solve for x
   x = 5,950,579,600/34,688
6. Step 6: Final answer
   x = 171,545.77