Finding the Third Proportional to 34,737 and 81,918.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,737 : 81,918.50 = 81,918.50 : x
2. Step 2: Convert to fraction form
   34,737/81,918.50 = 81,918.50/x
3. Step 3: Cross multiply
   34,737x = 81,918.50 × 81,918.50
4. Step 4: Simplify right side
   34,737x = 6,710,640,642.25
5. Step 5: Solve for x
   x = 6,710,640,642.25/34,737
6. Step 6: Final answer
   x = 193,184.23