Finding the Third Proportional to 37,988.63 and 82,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,988.63 : 82,666.50 = 82,666.50 : x
2. Step 2: Convert to fraction form
   37,988.63/82,666.50 = 82,666.50/x
3. Step 3: Cross multiply
   37,988.63x = 82,666.50 × 82,666.50
4. Step 4: Simplify right side
   37,988.63x = 6,833,750,222.25
5. Step 5: Solve for x
   x = 6,833,750,222.25/37,988.63
6. Step 6: Final answer
   x = 179,889.38