Finding the Third Proportional to 55,542 and 86,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,542 : 86,026.50 = 86,026.50 : x
2. Step 2: Convert to fraction form
   55,542/86,026.50 = 86,026.50/x
3. Step 3: Cross multiply
   55,542x = 86,026.50 × 86,026.50
4. Step 4: Simplify right side
   55,542x = 7,400,558,702.25
5. Step 5: Solve for x
   x = 7,400,558,702.25/55,542
6. Step 6: Final answer
   x = 133,242.57