Finding the Third Proportional to 37,643.63 and 81,848.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,643.63 : 81,848.25 = 81,848.25 : x
2. Step 2: Convert to fraction form
   37,643.63/81,848.25 = 81,848.25/x
3. Step 3: Cross multiply
   37,643.63x = 81,848.25 × 81,848.25
4. Step 4: Simplify right side
   37,643.63x = 6,699,136,028.06
5. Step 5: Solve for x
   x = 6,699,136,028.06/37,643.63
6. Step 6: Final answer
   x = 177,962.03