Finding the Third Proportional to 37,999.13 and 82,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,999.13 : 82,741.50 = 82,741.50 : x
2. Step 2: Convert to fraction form
   37,999.13/82,741.50 = 82,741.50/x
3. Step 3: Cross multiply
   37,999.13x = 82,741.50 × 82,741.50
4. Step 4: Simplify right side
   37,999.13x = 6,846,155,822.25
5. Step 5: Solve for x
   x = 6,846,155,822.25/37,999.13
6. Step 6: Final answer
   x = 180,166.14