Finding the Third Proportional to 37,026 and 78,465.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,026 : 78,465.38 = 78,465.38 : x
2. Step 2: Convert to fraction form
   37,026/78,465.38 = 78,465.38/x
3. Step 3: Cross multiply
   37,026x = 78,465.38 × 78,465.38
4. Step 4: Simplify right side
   37,026x = 6,156,815,073.89
5. Step 5: Solve for x
   x = 6,156,815,073.89/37,026
6. Step 6: Final answer
   x = 166,283.56