Finding the Third Proportional to 31,762.13 and 67,741.31

Step by Step Solution

1. Step 1: Write the proportion equation
   31,762.13 : 67,741.31 = 67,741.31 : x
2. Step 2: Convert to fraction form
   31,762.13/67,741.31 = 67,741.31/x
3. Step 3: Cross multiply
   31,762.13x = 67,741.31 × 67,741.31
4. Step 4: Simplify right side
   31,762.13x = 4,588,885,419.22
5. Step 5: Solve for x
   x = 4,588,885,419.22/31,762.13
6. Step 6: Final answer
   x = 144,476.65