Finding the Third Proportional to 37,670 and 58,365

Step by Step Solution

1. Step 1: Write the proportion equation
   37,670 : 58,365 = 58,365 : x
2. Step 2: Convert to fraction form
   37,670/58,365 = 58,365/x
3. Step 3: Cross multiply
   37,670x = 58,365 × 58,365
4. Step 4: Simplify right side
   37,670x = 3,406,473,225
5. Step 5: Solve for x
   x = 3,406,473,225/37,670
6. Step 6: Final answer
   x = 90,429.34