Finding the Third Proportional to 31,599 and 69,394.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,599 : 69,394.50 = 69,394.50 : x
2. Step 2: Convert to fraction form
   31,599/69,394.50 = 69,394.50/x
3. Step 3: Cross multiply
   31,599x = 69,394.50 × 69,394.50
4. Step 4: Simplify right side
   31,599x = 4,815,596,630.25
5. Step 5: Solve for x
   x = 4,815,596,630.25/31,599
6. Step 6: Final answer
   x = 152,397.12