Finding the Third Proportional to 22,599 and 34,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,599 : 34,498.50 = 34,498.50 : x
2. Step 2: Convert to fraction form
   22,599/34,498.50 = 34,498.50/x
3. Step 3: Cross multiply
   22,599x = 34,498.50 × 34,498.50
4. Step 4: Simplify right side
   22,599x = 1,190,146,502.25
5. Step 5: Solve for x
   x = 1,190,146,502.25/22,599
6. Step 6: Final answer
   x = 52,663.68