Finding the Third Proportional to 38,254 and 59,085

Step by Step Solution

1. Step 1: Write the proportion equation
   38,254 : 59,085 = 59,085 : x
2. Step 2: Convert to fraction form
   38,254/59,085 = 59,085/x
3. Step 3: Cross multiply
   38,254x = 59,085 × 59,085
4. Step 4: Simplify right side
   38,254x = 3,491,037,225
5. Step 5: Solve for x
   x = 3,491,037,225/38,254
6. Step 6: Final answer
   x = 91,259.40