Finding the Third Proportional to 34,799 and 75,139

Step by Step Solution

1. Step 1: Write the proportion equation
   34,799 : 75,139 = 75,139 : x
2. Step 2: Convert to fraction form
   34,799/75,139 = 75,139/x
3. Step 3: Cross multiply
   34,799x = 75,139 × 75,139
4. Step 4: Simplify right side
   34,799x = 5,645,869,321
5. Step 5: Solve for x
   x = 5,645,869,321/34,799
6. Step 6: Final answer
   x = 162,242.29