Finding the Third Proportional to 31,820.63 and 69,166.13

Step by Step Solution

1. Step 1: Write the proportion equation
   31,820.63 : 69,166.13 = 69,166.13 : x
2. Step 2: Convert to fraction form
   31,820.63/69,166.13 = 69,166.13/x
3. Step 3: Cross multiply
   31,820.63x = 69,166.13 × 69,166.13
4. Step 4: Simplify right side
   31,820.63x = 4,783,952,847.52
5. Step 5: Solve for x
   x = 4,783,952,847.52/31,820.63
6. Step 6: Final answer
   x = 150,341.26