Finding the Third Proportional to 13,534.88 and 21,038.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,534.88 : 21,038.63 = 21,038.63 : x
2. Step 2: Convert to fraction form
   13,534.88/21,038.63 = 21,038.63/x
3. Step 3: Cross multiply
   13,534.88x = 21,038.63 × 21,038.63
4. Step 4: Simplify right side
   13,534.88x = 442,623,741.89
5. Step 5: Solve for x
   x = 442,623,741.89/13,534.88
6. Step 6: Final answer
   x = 32,702.46