Finding the Third Proportional to 31,941 and 67,192.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,941 : 67,192.50 = 67,192.50 : x
2. Step 2: Convert to fraction form
   31,941/67,192.50 = 67,192.50/x
3. Step 3: Cross multiply
   31,941x = 67,192.50 × 67,192.50
4. Step 4: Simplify right side
   31,941x = 4,514,832,056.25
5. Step 5: Solve for x
   x = 4,514,832,056.25/31,941
6. Step 6: Final answer
   x = 141,349.11