Finding the Third Proportional to 32,769 and 77,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,769 : 77,026.50 = 77,026.50 : x
2. Step 2: Convert to fraction form
   32,769/77,026.50 = 77,026.50/x
3. Step 3: Cross multiply
   32,769x = 77,026.50 × 77,026.50
4. Step 4: Simplify right side
   32,769x = 5,933,081,702.25
5. Step 5: Solve for x
   x = 5,933,081,702.25/32,769
6. Step 6: Final answer
   x = 181,057.76