Finding the Third Proportional to 39,429 and 91,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,429 : 91,186.50 = 91,186.50 : x
2. Step 2: Convert to fraction form
   39,429/91,186.50 = 91,186.50/x
3. Step 3: Cross multiply
   39,429x = 91,186.50 × 91,186.50
4. Step 4: Simplify right side
   39,429x = 8,314,977,782.25
5. Step 5: Solve for x
   x = 8,314,977,782.25/39,429
6. Step 6: Final answer
   x = 210,884.83