Finding the Third Proportional to 37,597.08 and 83,599.59

Step by Step Solution

1. Step 1: Write the proportion equation
   37,597.08 : 83,599.59 = 83,599.59 : x
2. Step 2: Convert to fraction form
   37,597.08/83,599.59 = 83,599.59/x
3. Step 3: Cross multiply
   37,597.08x = 83,599.59 × 83,599.59
4. Step 4: Simplify right side
   37,597.08x = 6,988,892,075.17
5. Step 5: Solve for x
   x = 6,988,892,075.17/37,597.08
6. Step 6: Final answer
   x = 185,889.23