Finding the Third Proportional to 34,875 and 77,499

Step by Step Solution

1. Step 1: Write the proportion equation
   34,875 : 77,499 = 77,499 : x
2. Step 2: Convert to fraction form
   34,875/77,499 = 77,499/x
3. Step 3: Cross multiply
   34,875x = 77,499 × 77,499
4. Step 4: Simplify right side
   34,875x = 6,006,095,001
5. Step 5: Solve for x
   x = 6,006,095,001/34,875
6. Step 6: Final answer
   x = 172,217.78