Finding the Third Proportional to 31,201 and 71,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,201 : 71,666.50 = 71,666.50 : x
2. Step 2: Convert to fraction form
   31,201/71,666.50 = 71,666.50/x
3. Step 3: Cross multiply
   31,201x = 71,666.50 × 71,666.50
4. Step 4: Simplify right side
   31,201x = 5,136,087,222.25
5. Step 5: Solve for x
   x = 5,136,087,222.25/31,201
6. Step 6: Final answer
   x = 164,612.90