Finding the Third Proportional to 17,386 and 37,543.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,386 : 37,543.75 = 37,543.75 : x
2. Step 2: Convert to fraction form
   17,386/37,543.75 = 37,543.75/x
3. Step 3: Cross multiply
   17,386x = 37,543.75 × 37,543.75
4. Step 4: Simplify right side
   17,386x = 1,409,533,164.06
5. Step 5: Solve for x
   x = 1,409,533,164.06/17,386
6. Step 6: Final answer
   x = 81,072.88