Finding the Third Proportional to 37,973 and 83,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,973 : 83,094.50 = 83,094.50 : x
2. Step 2: Convert to fraction form
   37,973/83,094.50 = 83,094.50/x
3. Step 3: Cross multiply
   37,973x = 83,094.50 × 83,094.50
4. Step 4: Simplify right side
   37,973x = 6,904,695,930.25
5. Step 5: Solve for x
   x = 6,904,695,930.25/37,973
6. Step 6: Final answer
   x = 181,831.72