Finding the Third Proportional to 64,315 and 91,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,315 : 91,742.50 = 91,742.50 : x
2. Step 2: Convert to fraction form
   64,315/91,742.50 = 91,742.50/x
3. Step 3: Cross multiply
   64,315x = 91,742.50 × 91,742.50
4. Step 4: Simplify right side
   64,315x = 8,416,686,306.25
5. Step 5: Solve for x
   x = 8,416,686,306.25/64,315
6. Step 6: Final answer
   x = 130,866.61