Finding the Third Proportional to 37,666 and 58,358

Step by Step Solution

1. Step 1: Write the proportion equation
   37,666 : 58,358 = 58,358 : x
2. Step 2: Convert to fraction form
   37,666/58,358 = 58,358/x
3. Step 3: Cross multiply
   37,666x = 58,358 × 58,358
4. Step 4: Simplify right side
   37,666x = 3,405,656,164
5. Step 5: Solve for x
   x = 3,405,656,164/37,666
6. Step 6: Final answer
   x = 90,417.25