Finding the Third Proportional to 52,026 and 74,341.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,026 : 74,341.50 = 74,341.50 : x
2. Step 2: Convert to fraction form
   52,026/74,341.50 = 74,341.50/x
3. Step 3: Cross multiply
   52,026x = 74,341.50 × 74,341.50
4. Step 4: Simplify right side
   52,026x = 5,526,658,622.25
5. Step 5: Solve for x
   x = 5,526,658,622.25/52,026
6. Step 6: Final answer
   x = 106,228.78