Finding the Third Proportional to 37,029.38 and 78,472.13

Step by Step Solution

1. Step 1: Write the proportion equation
   37,029.38 : 78,472.13 = 78,472.13 : x
2. Step 2: Convert to fraction form
   37,029.38/78,472.13 = 78,472.13/x
3. Step 3: Cross multiply
   37,029.38x = 78,472.13 × 78,472.13
4. Step 4: Simplify right side
   37,029.38x = 6,157,874,402.02
5. Step 5: Solve for x
   x = 6,157,874,402.02/37,029.38
6. Step 6: Final answer
   x = 166,297.01