Finding the Third Proportional to 65,696.50 and 101,461

Step by Step Solution

1. Step 1: Write the proportion equation
   65,696.50 : 101,461 = 101,461 : x
2. Step 2: Convert to fraction form
   65,696.50/101,461 = 101,461/x
3. Step 3: Cross multiply
   65,696.50x = 101,461 × 101,461
4. Step 4: Simplify right side
   65,696.50x = 10,294,334,521
5. Step 5: Solve for x
   x = 10,294,334,521/65,696.50
6. Step 6: Final answer
   x = 156,695.33