Finding the Third Proportional to 34,779.38 and 75,117.38

Step by Step Solution

1. Step 1: Write the proportion equation
   34,779.38 : 75,117.38 = 75,117.38 : x
2. Step 2: Convert to fraction form
   34,779.38/75,117.38 = 75,117.38/x
3. Step 3: Cross multiply
   34,779.38x = 75,117.38 × 75,117.38
4. Step 4: Simplify right side
   34,779.38x = 5,642,620,026.89
5. Step 5: Solve for x
   x = 5,642,620,026.89/34,779.38
6. Step 6: Final answer
   x = 162,240.41