Finding the Third Proportional to 37,864.13 and 83,071.88

Step by Step Solution

1. Step 1: Write the proportion equation
   37,864.13 : 83,071.88 = 83,071.88 : x
2. Step 2: Convert to fraction form
   37,864.13/83,071.88 = 83,071.88/x
3. Step 3: Cross multiply
   37,864.13x = 83,071.88 × 83,071.88
4. Step 4: Simplify right side
   37,864.13x = 6,900,936,416.02
5. Step 5: Solve for x
   x = 6,900,936,416.02/37,864.13
6. Step 6: Final answer
   x = 182,255.27