Finding the Third Proportional to 54,417 and 77,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,417 : 77,026.50 = 77,026.50 : x
2. Step 2: Convert to fraction form
   54,417/77,026.50 = 77,026.50/x
3. Step 3: Cross multiply
   54,417x = 77,026.50 × 77,026.50
4. Step 4: Simplify right side
   54,417x = 5,933,081,702.25
5. Step 5: Solve for x
   x = 5,933,081,702.25/54,417
6. Step 6: Final answer
   x = 109,029.93