Finding the Third Proportional to 37,160 and 58,206

Step by Step Solution

1. Step 1: Write the proportion equation
   37,160 : 58,206 = 58,206 : x
2. Step 2: Convert to fraction form
   37,160/58,206 = 58,206/x
3. Step 3: Cross multiply
   37,160x = 58,206 × 58,206
4. Step 4: Simplify right side
   37,160x = 3,387,938,436
5. Step 5: Solve for x
   x = 3,387,938,436/37,160
6. Step 6: Final answer
   x = 91,171.65