Finding the Third Proportional to 34,679.39 and 75,779.30

Step by Step Solution

1. Step 1: Write the proportion equation
   34,679.39 : 75,779.30 = 75,779.30 : x
2. Step 2: Convert to fraction form
   34,679.39/75,779.30 = 75,779.30/x
3. Step 3: Cross multiply
   34,679.39x = 75,779.30 × 75,779.30
4. Step 4: Simplify right side
   34,679.39x = 5,742,501,834.87
5. Step 5: Solve for x
   x = 5,742,501,834.87/34,679.39
6. Step 6: Final answer
   x = 165,588.31