Finding the Third Proportional to 71,961 and 108,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,961 : 108,946.50 = 108,946.50 : x
2. Step 2: Convert to fraction form
   71,961/108,946.50 = 108,946.50/x
3. Step 3: Cross multiply
   71,961x = 108,946.50 × 108,946.50
4. Step 4: Simplify right side
   71,961x = 11,869,339,862.25
5. Step 5: Solve for x
   x = 11,869,339,862.25/71,961
6. Step 6: Final answer
   x = 164,941.29