Finding the Third Proportional to 34,698 and 77,160

Step by Step Solution

1. Step 1: Write the proportion equation
   34,698 : 77,160 = 77,160 : x
2. Step 2: Convert to fraction form
   34,698/77,160 = 77,160/x
3. Step 3: Cross multiply
   34,698x = 77,160 × 77,160
4. Step 4: Simplify right side
   34,698x = 5,953,665,600
5. Step 5: Solve for x
   x = 5,953,665,600/34,698
6. Step 6: Final answer
   x = 171,585.27