Finding the Third Proportional to 37,281 and 58,188

Step by Step Solution

1. Step 1: Write the proportion equation
   37,281 : 58,188 = 58,188 : x
2. Step 2: Convert to fraction form
   37,281/58,188 = 58,188/x
3. Step 3: Cross multiply
   37,281x = 58,188 × 58,188
4. Step 4: Simplify right side
   37,281x = 3,385,843,344
5. Step 5: Solve for x
   x = 3,385,843,344/37,281
6. Step 6: Final answer
   x = 90,819.54