Finding the Third Proportional to 26,034 and 56,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,034 : 56,779.50 = 56,779.50 : x
2. Step 2: Convert to fraction form
   26,034/56,779.50 = 56,779.50/x
3. Step 3: Cross multiply
   26,034x = 56,779.50 × 56,779.50
4. Step 4: Simplify right side
   26,034x = 3,223,911,620.25
5. Step 5: Solve for x
   x = 3,223,911,620.25/26,034
6. Step 6: Final answer
   x = 123,834.66