Finding the Third Proportional to 39,506 and 86,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,506 : 86,113.50 = 86,113.50 : x
2. Step 2: Convert to fraction form
   39,506/86,113.50 = 86,113.50/x
3. Step 3: Cross multiply
   39,506x = 86,113.50 × 86,113.50
4. Step 4: Simplify right side
   39,506x = 7,415,534,882.25
5. Step 5: Solve for x
   x = 7,415,534,882.25/39,506
6. Step 6: Final answer
   x = 187,706.55