Finding the Third Proportional to 34,680 and 77,124

Step by Step Solution

1. Step 1: Write the proportion equation
   34,680 : 77,124 = 77,124 : x
2. Step 2: Convert to fraction form
   34,680/77,124 = 77,124/x
3. Step 3: Cross multiply
   34,680x = 77,124 × 77,124
4. Step 4: Simplify right side
   34,680x = 5,948,111,376
5. Step 5: Solve for x
   x = 5,948,111,376/34,680
6. Step 6: Final answer
   x = 171,514.17