Finding the Third Proportional to 40,501.13 and 83,588.06

Step by Step Solution

1. Step 1: Write the proportion equation
   40,501.13 : 83,588.06 = 83,588.06 : x
2. Step 2: Convert to fraction form
   40,501.13/83,588.06 = 83,588.06/x
3. Step 3: Cross multiply
   40,501.13x = 83,588.06 × 83,588.06
4. Step 4: Simplify right side
   40,501.13x = 6,986,964,192.50
5. Step 5: Solve for x
   x = 6,986,964,192.50/40,501.13
6. Step 6: Final answer
   x = 172,512.84