Finding the Third Proportional to 42,026 and 91,051.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,026 : 91,051.50 = 91,051.50 : x
2. Step 2: Convert to fraction form
   42,026/91,051.50 = 91,051.50/x
3. Step 3: Cross multiply
   42,026x = 91,051.50 × 91,051.50
4. Step 4: Simplify right side
   42,026x = 8,290,375,652.25
5. Step 5: Solve for x
   x = 8,290,375,652.25/42,026
6. Step 6: Final answer
   x = 197,267.78